Number

48,400

Positive
Even
Composite
Perfect square
5 digits

48,400 is an even 5-digit integer and a composite number. It has 45 divisors and a digital root of 7.

Number properties

ParityEvendivisible by 2

SignPositive

PrimalityComposite

Absolute value48,400

Digit count5

Digit sum16

Digital root7repeated digit sum

PalindromicNoreads differently backwards

Perfect squareYes, 220²

Happy numberNosquared-digit sums reach 1

Harshad numberYesdivisible by its own digit sum

Factors & divisors

Prime factorisation2^4 × 5^2 × 11^2

Distinct prime factors32, 5, 11

Number of divisors45

Sum of divisors σ(n)127,813

Aliquot sum79,413sum of the proper divisors

ClassificationAbundantthe aliquot sum exceeds the number

Euler's totient φ(n)17,600integers below n that share no factor with it

SquarefreeNohas a repeated prime factor

All divisors1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 25, 40, 44, 50, 55, 80, 88, 100, 110, 121, 176, 200, 220, 242, 275, 400, 440, 484, 550, 605, 880, 968, 1,100, 1,210, 1,936, 2,200, 2,420, 3,025, 4,400, 4,840, 6,050, 9,680, 12,100, 24,200, 48,40045 in total

Arithmetic

Previous number48,399

Next number48,401

Double96,800

Half24,200

Square2,342,560,000

Cube113,379,904,000,000

Square root220exact

Cube root36.443083872≈

Negation-48,400

Reciprocal0.0000206612≈

Representations

Decimal48,400

Binary101111010001000016 bits

Octal136420

HexadecimalBD10

Base 3611CG

Roman numeralNot defined above 3,999there is no agreed standard notation

In wordsforty-eight thousand, four hundred

Ordinalforty-eight thousand, four hundredth

Scientific notation4.84 × 10^4

Engineering notation48.4 × 10^3

Nearest landmarks

Next prime48,407+7

Previous prime48,397−3

Distance to nearest prime3

Nearest square below48,400

Nearest square above48,841

Powers & multiples

48,400 to the power 22,342,560,000

48,400 to the power 3113,379,904,000,000

48,400 to the power 45,487,587,353,600,000,000

48,400 to the power 5265,599,227,914,240,000,000,000

First ten multiples48,400, 96,800, 145,200, 193,600, 242,000, 290,400, 338,800, 387,200, 435,600, 484,000

Powers of twoBetween 2^15 (32,768) and 2^16 (65,536)

Divisibility tests

Divisible by 2Yes

Divisible by 3No, remainder 1

Divisible by 4Yes

Divisible by 5Yes

Divisible by 6No, remainder 4

Divisible by 7No, remainder 2

Divisible by 8Yes

Divisible by 9No, remainder 7

Divisible by 10Yes

Divisible by 11Yes

Divisible by 12No, remainder 4

Divisible by 100Yes

Collatz (3n + 1) trajectory

Steps to reach 170the total stopping time

Highest value reached48,400

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

First steps48,400 → 24,200 → 12,100 → 6,050 → 3,025 → 9,076 → 4,538 → 2,269 → 6,808 → 3,404 → …

Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage4,840,000%

48,400% as a decimal484

48,400% of 10048,400

48,400% of 1,000484,000

As a fraction of 10048,400/100

Read another way

As seconds13 hours, 26 minutes and 40 seconds

As bytes47.266 KiB

As a 24-bit colour#00BD10

Keep nerding

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