Recognised as Number
-464
- Negative
- Even
- 3 digits
-464 is an even 3-digit integer and the negative of 464. It has 10 divisors and a digital root of 5.
Number properties
ParityEvendivisible by 2
SignNegative
Absolute value464
Digit count3
Digit sum14
Digit product96
Multiplicative persistence4times the digit product can be taken before one digit is left
Digital root5repeated digit sum
PalindromicYesreads the same backwards
Factors & divisors
Prime factorisation−1 × 2^4 × 29
Distinct prime factors22, 29
Number of divisors10
Sum of divisors σ(n)930
SquarefreeNohas a repeated prime factor
All divisors1, 2, 4, 8, 16, 29, 58, 116, 232, 46410 in total
Arithmetic
Representations
Decimal-464
Binary1110100009 bits
Octal720
Hexadecimal1D0
Base 36CW
In wordsminus four hundred and sixty-four
Ordinalminus four hundred and sixty-fourth
Scientific notation-4.64 × 10^2
Engineering notation-464
In other bases
Ternary122012base 3; the most digit-efficient integer base after e: 6 digits
Quinary3324base 5; one hand: 4 digits
Septenary1232base 7: 4 digits
Nonary565base 9; each digit is two ternary digits: 3 digits
Duodecimal328base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimal134base 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal7:44base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternaryT101T11digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary1001110000base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1111111000110000
Bit length9 bitsto write the magnitude
Set bits4the population count, or Hamming weight
Zero bits5within that length
Bit parityeven4 set bits, so even; not the same as the number itself being even
Highest set bitbit 8worth 256
Lowest set bitbit 44 trailing zeros
Power of twoNo
Bytes201 d0
Gray code100111000n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit1111111000110000two's complement
32-bit11111111111111111111111000110000two's complement
64-bit1111111111111111111111111111111111111111111111111111111000110000two's complement
One's complement0000000111001111at 16 bits, every bit flipped
Bits reversed0000110001111111at 16 bits
Rotated left by 11111110001100001at 16 bits, wrapping
Shifted left by 1-1110100000= -928, no wrap
Shifted right by 1-11101000= -232, discarding the low bit
These bits as a double2.2924646 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-464 to the power 2215,296
-464 to the power 3-99,897,344
-464 to the power 446,352,367,616
-464 to the power 5-21,507,498,573,824
First ten multiples-464, -928, -1,392, -1,856, -2,320, -2,784, -3,248, -3,712, -4,176, -4,640
Powers of twoBetween 2^8 (256) and 2^9 (512)
Divisibility tests
Divisible by 2Yes
Divisible by 3No, remainder 2
Divisible by 4Yes
Divisible by 5No, remainder 4
Divisible by 6No, remainder 2
Divisible by 7No, remainder 2
Divisible by 8Yes
Divisible by 9No, remainder 5
Divisible by 10No, remainder 4
Divisible by 11No, remainder 2
Divisible by 12No, remainder 8
Divisible by 100No, remainder 64
As a percentage & fraction
As a percentage-46,400%
-464% as a decimal-4.64
-464% of 100-464
-464% of 1,000-4,640
As a fraction of 100-464/100
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