Recognised as Number

49

Positive
Odd
Composite
Perfect square
2 digits

49 is an odd 2-digit integer and a composite number. It has 3 divisors and a digital root of 4.

Number properties

ParityOddnot divisible by 2

SignPositive

PrimalityComposite

Absolute value49

Digit count2

Digit sum13

Digit product36

Multiplicative persistence3times the digit product can be taken before one digit is left

Digital root4repeated digit sum

PalindromicNoreads differently backwards

Perfect squareYes, 7²

Happy numberYessquared-digit sums reach 1

Harshad numberNodivisible by its own digit sum

Factors & divisors

Prime factorisation7^2

Distinct prime factors17

Number of divisors3

Sum of divisors σ(n)57

Aliquot sum8sum of the proper divisors

ClassificationDeficientthe aliquot sum is less than the number

Euler's totient φ(n)42integers below n that share no factor with it

Carmichael function λ(n)42the smallest exponent with aˣ ≡ 1 for every unit coprime to n

Möbius function μ(n)0zero, because a prime divides n twice

SquarefreeNohas a repeated prime factor

All divisors1, 7, 493 in total

Arithmetic

Previous number48

Next number50

Double98

Half24.5

Square2,401

Cube117,649

Square root7exact

Cube root3.65930571≈

Negation-49

Reciprocal0.0204081633≈

49 factorial6082818640342675608722521633212953768875… (63 digits)

Representations

Decimal49

Binary1100016 bits

Octal61

Hexadecimal31

Base 361D

Roman numeralXLIX

In wordsforty-nine

Ordinalforty-ninth

Scientific notation4.9 × 10^1

Engineering notation49

In other bases

Ternary1211base 3; the most digit-efficient integer base after e: 4 digits

Quinary144base 5; one hand: 3 digits

Septenary100base 7: 3 digits

Nonary54base 9; each digit is two ternary digits: 2 digits

Duodecimal41base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 2 digits

Vigesimal29base 20; hands and feet, and the Mayan and Yoruba systems: 2 digits

Sexagesimal49base 60; Babylonian, and still how an hour and a circle are divided: 1 digit

Balanced ternary1TT11digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed

Negabinary1110001base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign

Bit-level

00110001

Bit length6 bitsto write the magnitude

Set bits3the population count, or Hamming weight

Zero bits3within that length

Bit parityodd3 set bits, so odd; not the same as the number itself being odd

Highest set bitbit 5worth 32

Lowest set bitbit 00 trailing zeros

Power of twoNo

Bytes131

Gray code101001n XOR (n >> 1); successive values differ in exactly one bit

At each machine width

8-bit00110001

16-bit0000000000110001

32-bit00000000000000000000000000110001

64-bit0000000000000000000000000000000000000000000000000000000000110001

One's complement11001110at 8 bits, every bit flipped

Bits reversed10001100at 8 bits

Rotated left by 101100010at 8 bits, wrapping

Shifted left by 11100010= 98, no wrap

Shifted right by 111000= 24, discarding the low bit

These bits as a double2.42092166 × 10^-322≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)

Nearest landmarks

Next prime53+4

Previous prime47−2

Distance to nearest prime2

Nearest square below49

Nearest square above64

Powers & multiples

49 to the power 22,401

49 to the power 3117,649

49 to the power 45,764,801

49 to the power 5282,475,249

First ten multiples49, 98, 147, 196, 245, 294, 343, 392, 441, 490

Powers of twoBetween 2^5 (32) and 2^6 (64)

Divisibility tests

Divisible by 2No, remainder 1

Divisible by 3No, remainder 1

Divisible by 4No, remainder 1

Divisible by 5No, remainder 4

Divisible by 6No, remainder 1

Divisible by 7Yes

Divisible by 8No, remainder 1

Divisible by 9No, remainder 4

Divisible by 10No, remainder 9

Divisible by 11No, remainder 5

Divisible by 12No, remainder 1

Divisible by 100No, remainder 49

Collatz (3n + 1) trajectory

Steps to reach 124the total stopping time

Highest value reached1483× the starting value

Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven

First steps49 → 148 → 74 → 37 → 112 → 56 → 28 → 14 → 7 → 22 → …

Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage4,900%

49% as a decimal0.49

49% of 10049

49% of 1,000490

As a fraction of 10049/100

Read another way

As seconds49 seconds

As bytes49 B

As a 24-bit colour#000031

Keep nerding

Every link below is a page Nerdulator can generate from what it already knows about this value.

49