Recognised as Number
-472
- Negative
- Even
- 3 digits
-472 is an even 3-digit integer and the negative of 472. It has 8 divisors and a digital root of 4.
Number properties
ParityEvendivisible by 2
SignNegative
Absolute value472
Digit count3
Digit sum13
Digit product56
Multiplicative persistence3times the digit product can be taken before one digit is left
Digital root4repeated digit sum
PalindromicNoreads differently backwards
Factors & divisors
Prime factorisation−1 × 2^3 × 59
Distinct prime factors22, 59
Number of divisors8
Sum of divisors σ(n)900
SquarefreeNohas a repeated prime factor
All divisors1, 2, 4, 8, 59, 118, 236, 4728 in total
Arithmetic
Representations
Decimal-472
Binary1110110009 bits
Octal730
Hexadecimal1D8
Base 36D4
In wordsminus four hundred and seventy-two
Ordinalminus four hundred and seventy-second
Scientific notation-4.72 × 10^2
Engineering notation-472
In other bases
Ternary122111base 3; the most digit-efficient integer base after e: 6 digits
Quinary3342base 5; one hand: 4 digits
Septenary1243base 7: 4 digits
Nonary574base 9; each digit is two ternary digits: 3 digits
Duodecimal334base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimal13cbase 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal7:52base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternaryT101TTTdigits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary1001111000base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1111111000101000
Bit length9 bitsto write the magnitude
Set bits5the population count, or Hamming weight
Zero bits4within that length
Bit parityodd5 set bits, so odd; not the same as the number itself being even
Highest set bitbit 8worth 256
Lowest set bitbit 33 trailing zeros
Power of twoNo
Bytes201 d8
Gray code100110100n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit1111111000101000two's complement
32-bit11111111111111111111111000101000two's complement
64-bit1111111111111111111111111111111111111111111111111111111000101000two's complement
One's complement0000000111010111at 16 bits, every bit flipped
Bits reversed0001010001111111at 16 bits
Rotated left by 11111110001010001at 16 bits, wrapping
Shifted left by 1-1110110000= -944, no wrap
Shifted right by 1-11101100= -236, discarding the low bit
These bits as a double2.33198985 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-472 to the power 2222,784
-472 to the power 3-105,154,048
-472 to the power 449,632,710,656
-472 to the power 5-23,426,639,429,632
First ten multiples-472, -944, -1,416, -1,888, -2,360, -2,832, -3,304, -3,776, -4,248, -4,720
Powers of twoBetween 2^8 (256) and 2^9 (512)
Divisibility tests
Divisible by 2Yes
Divisible by 3No, remainder 1
Divisible by 4Yes
Divisible by 5No, remainder 2
Divisible by 6No, remainder 4
Divisible by 7No, remainder 3
Divisible by 8Yes
Divisible by 9No, remainder 4
Divisible by 10No, remainder 2
Divisible by 11No, remainder 10
Divisible by 12No, remainder 4
Divisible by 100No, remainder 72
As a percentage & fraction
As a percentage-47,200%
-472% as a decimal-4.72
-472% of 100-472
-472% of 1,000-4,720
As a fraction of 100-472/100
Keep nerding
Every link below is a page Nerdulator can generate from what it already knows about this value.
Derived from -472
Nerdulate something else
Nothing in mind? Surprise me · today’s page