Recognised as Number
-42,049
- Negative
- Odd
- 5 digits
-42,049 is an odd 5-digit integer and the negative of 42,049. It has 4 divisors and a digital root of 1.
Number properties
ParityOddnot divisible by 2
SignNegative
Absolute value42,049
Digit count5
Digit sum19
Digit product0zero, because one of the digits is zero
Multiplicative persistence1times the digit product can be taken before one digit is left
Digital root1repeated digit sum
PalindromicNoreads differently backwards
Factors & divisors
Prime factorisation−1 × 7 × 6,007
Distinct prime factors27, 6,007
Number of divisors4
Sum of divisors σ(n)48,064
SquarefreeYesno repeated prime factor
All divisors1, 7, 6,007, 42,0494 in total
Arithmetic
Representations
Decimal-42,049
Binary101001000100000116 bits
Octal122101
HexadecimalA441
Base 36WG1
In wordsminus forty-two thousand and forty-nine
Ordinalminus forty-two thousand and forty-ninth
Scientific notation-4.2049 × 10^4
Engineering notation-42.049 × 10^3
In other bases
Ternary2010200101base 3; the most digit-efficient integer base after e: 10 digits
Quinary2321144base 5; one hand: 7 digits
Septenary233410base 7: 6 digits
Nonary63611base 9; each digit is two ternary digits: 5 digits
Duodecimal20401base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 5 digits
Vigesimal5529base 20; hands and feet, and the Mayan and Yoruba systems: 4 digits
Sexagesimal11:40:49base 60; Babylonian, and still how an hour and a circle are divided: 3 digits
Balanced ternaryT10TT100T0Tdigits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary1010110011000011base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
11111111111111110101101110111111
Bit length16 bitsto write the magnitude
Set bits5the population count, or Hamming weight
Zero bits11within that length
Bit parityodd5 set bits, so odd; not the same as the number itself being odd
Highest set bitbit 15worth 32,768
Lowest set bitbit 00 trailing zeros
Power of twoNo
Bytes2a4 41
Gray code1111011001100001n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
32-bit11111111111111110101101110111111two's complement
64-bit1111111111111111111111111111111111111111111111110101101110111111two's complement
One's complement00000000000000001010010001000000at 32 bits, every bit flipped
Bits reversed11111101110110101111111111111111at 32 bits
Rotated left by 111111111111111101011011101111111at 32 bits, wrapping
Shifted left by 1-10100100010000010= -84,098, no wrap
Shifted right by 1-101001000100001= -21,024, discarding the low bit
These bits as a double2.07749663 × 10^-319≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-42,049 to the power 21,768,118,401
-42,049 to the power 3-74,347,610,643,649
-42,049 to the power 43,126,242,679,954,796,801
-42,049 to the power 5-131,455,378,449,419,250,685,249
First ten multiples-42,049, -84,098, -126,147, -168,196, -210,245, -252,294, -294,343, -336,392, -378,441, -420,490
Powers of twoBetween 2^15 (32,768) and 2^16 (65,536)
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 1
Divisible by 10No, remainder 9
Divisible by 11No, remainder 7
Divisible by 12No, remainder 1
Divisible by 100No, remainder 49
As a percentage & fraction
As a percentage-4,204,900%
-42,049% as a decimal-420.49
-42,049% of 100-42,049
-42,049% of 1,000-420,490
As a fraction of 100-42,049/100
Keep nerding
Every link below is a page Nerdulator can generate from what it already knows about this value.
Derived from -42,049
Nerdulate something else
Nothing in mind? Surprise me · today’s page