Recognised as Number
-88
- Negative
- Even
- 2 digits
-88 is an even 2-digit integer and the negative of 88. It has 8 divisors and a digital root of 7.
Number properties
ParityEvendivisible by 2
SignNegative
Absolute value88
Digit count2
Digit sum16
Digit product64
Multiplicative persistence3times the digit product can be taken before one digit is left
Digital root7repeated digit sum
PalindromicYesreads the same backwards
Factors & divisors
Prime factorisation−1 × 2^3 × 11
Distinct prime factors22, 11
Number of divisors8
Sum of divisors σ(n)180
SquarefreeNohas a repeated prime factor
All divisors1, 2, 4, 8, 11, 22, 44, 888 in total
Arithmetic
Representations
Decimal-88
Binary10110007 bits
Octal130
Hexadecimal58
Base 362G
In wordsminus eighty-eight
Ordinalminus eighty-eighth
Scientific notation-8.8 × 10^1
Engineering notation-88
In other bases
Ternary10021base 3; the most digit-efficient integer base after e: 5 digits
Quinary323base 5; one hand: 3 digits
Septenary154base 7: 3 digits
Nonary107base 9; each digit is two ternary digits: 3 digits
Duodecimal74base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 2 digits
Vigesimal48base 20; hands and feet, and the Mayan and Yoruba systems: 2 digits
Sexagesimal1:28base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternaryT0T1Tdigits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary11111000base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
10101000
Bit length7 bitsto write the magnitude
Set bits3the population count, or Hamming weight
Zero bits4within that length
Bit parityodd3 set bits, so odd; not the same as the number itself being even
Highest set bitbit 6worth 64
Lowest set bitbit 33 trailing zeros
Power of twoNo
Bytes158
Gray code1110100n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
8-bit10101000two's complement
16-bit1111111110101000two's complement
32-bit11111111111111111111111110101000two's complement
64-bit1111111111111111111111111111111111111111111111111111111110101000two's complement
One's complement01010111at 8 bits, every bit flipped
Bits reversed00010101at 8 bits
Rotated left by 101010001at 8 bits, wrapping
Shifted left by 1-10110000= -176, no wrap
Shifted right by 1-101100= -44, discarding the low bit
These bits as a double4.34777768 × 10^-322≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-88 to the power 27,744
-88 to the power 3-681,472
-88 to the power 459,969,536
-88 to the power 5-5,277,319,168
First ten multiples-88, -176, -264, -352, -440, -528, -616, -704, -792, -880
Powers of twoBetween 2^6 (64) and 2^7 (128)
Divisibility tests
Divisible by 2Yes
Divisible by 3No, remainder 1
Divisible by 4Yes
Divisible by 5No, remainder 3
Divisible by 6No, remainder 4
Divisible by 7No, remainder 4
Divisible by 8Yes
Divisible by 9No, remainder 7
Divisible by 10No, remainder 8
Divisible by 11Yes
Divisible by 12No, remainder 4
Divisible by 100No, remainder 88
As a percentage & fraction
As a percentage-8,800%
-88% as a decimal-0.88
-88% of 100-88
-88% of 1,000-880
As a fraction of 100-88/100
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