Recognised as Number
-788
- Negative
- Even
- 3 digits
-788 is an even 3-digit integer and the negative of 788. It has 6 divisors and a digital root of 5.
Number properties
ParityEvendivisible by 2
SignNegative
Absolute value788
Digit count3
Digit sum23
Digit product448
Multiplicative persistence4times the digit product can be taken before one digit is left
Digital root5repeated digit sum
PalindromicNoreads differently backwards
Factors & divisors
Prime factorisation−1 × 2^2 × 197
Distinct prime factors22, 197
Number of divisors6
Sum of divisors σ(n)1,386
SquarefreeNohas a repeated prime factor
All divisors1, 2, 4, 197, 394, 7886 in total
Arithmetic
Representations
Decimal-788
Binary110001010010 bits
Octal1424
Hexadecimal314
Base 36LW
In wordsminus seven hundred and eighty-eight
Ordinalminus seven hundred and eighty-eighth
Scientific notation-7.88 × 10^2
Engineering notation-788
In other bases
Ternary1002012base 3; the most digit-efficient integer base after e — 7 digits
Quinary11123base 5; one hand — 5 digits
Septenary2204base 7 — 4 digits
Nonary1065base 9; each digit is two ternary digits — 4 digits
Duodecimal558base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves — 3 digits
Vigesimal1j8base 20; hands and feet, and the Mayan and Yoruba systems — 3 digits
Sexagesimal13:8base 60; Babylonian, and still how an hour and a circle are divided — 2 digits
Balanced ternaryT0T1T11digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary110100111100base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1111110011101100
Bit length10 bitsto write the magnitude
Set bits4the population count, or Hamming weight
Zero bits6within that length
Bit parityeven4 set bits, so even; not the same as the number itself being even
Highest set bitbit 9worth 512
Lowest set bitbit 22 trailing zeros
Power of twoNo
Bytes203 14
Gray code1010011110n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit1111110011101100two's complement
32-bit11111111111111111111110011101100two's complement
64-bit1111111111111111111111111111111111111111111111111111110011101100two's complement
One's complement0000001100010011at 16 bits, every bit flipped
Bits reversed0011011100111111at 16 bits
Rotated left by 11111100111011001at 16 bits, wrapping
Shifted left by 1-11000101000= -1,576, no wrap
Shifted right by 1-110001010= -394, discarding the low bit
These bits as a double3.89323729 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-788 to the power 2620,944
-788 to the power 3-489,303,872
-788 to the power 4385,571,451,136
-788 to the power 5-303,830,303,495,168
First ten multiples-788, -1,576, -2,364, -3,152, -3,940, -4,728, -5,516, -6,304, -7,092, -7,880
Powers of twoBetween 2^9 (512) and 2^10 (1,024)
Divisibility tests
Divisible by 2Yes
Divisible by 3No, remainder 2
Divisible by 4Yes
Divisible by 5No, remainder 3
Divisible by 6No, remainder 2
Divisible by 7No, remainder 4
Divisible by 8No, remainder 4
Divisible by 9No, remainder 5
Divisible by 10No, remainder 8
Divisible by 11No, remainder 7
Divisible by 12No, remainder 8
Divisible by 100No, remainder 88
As a percentage & fraction
As a percentage-78,800%
-788% as a decimal-7.88
-788% of 100-788
-788% of 1,000-7,880
As a fraction of 100-788/100
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