Recognised as Number
-89
- Negative
- Odd
- 2 digits
-89 is an odd 2-digit integer and the negative of 89. It has 2 divisors and a digital root of 8.
Number properties
ParityOddnot divisible by 2
SignNegative
Absolute value89
Digit count2
Digit sum17
Digit product72
Multiplicative persistence3times the digit product can be taken before one digit is left
Digital root8repeated digit sum
PalindromicNoreads differently backwards
Factors & divisors
Prime factorisation−1 × 89
Distinct prime factors189
Number of divisors2
Sum of divisors σ(n)90
SquarefreeYesno repeated prime factor
All divisors1, 892 in total
Arithmetic
Representations
Decimal-89
Binary10110017 bits
Octal131
Hexadecimal59
Base 362H
In wordsminus eighty-nine
Ordinalminus eighty-ninth
Scientific notation-8.9 × 10^1
Engineering notation-89
In other bases
Ternary10022base 3; the most digit-efficient integer base after e: 5 digits
Quinary324base 5; one hand: 3 digits
Septenary155base 7: 3 digits
Nonary108base 9; each digit is two ternary digits: 3 digits
Duodecimal75base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 2 digits
Vigesimal49base 20; hands and feet, and the Mayan and Yoruba systems: 2 digits
Sexagesimal1:29base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternaryT0T01digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary11111011base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
10100111
Bit length7 bitsto write the magnitude
Set bits4the population count, or Hamming weight
Zero bits3within that length
Bit parityeven4 set bits, so even; not the same as the number itself being odd
Highest set bitbit 6worth 64
Lowest set bitbit 00 trailing zeros
Power of twoNo
Bytes159
Gray code1110101n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
8-bit10100111two's complement
16-bit1111111110100111two's complement
32-bit11111111111111111111111110100111two's complement
64-bit1111111111111111111111111111111111111111111111111111111110100111two's complement
One's complement01011000at 8 bits, every bit flipped
Bits reversed11100101at 8 bits
Rotated left by 101001111at 8 bits, wrapping
Shifted left by 1-10110010= -178, no wrap
Shifted right by 1-101101= -44, discarding the low bit
These bits as a double4.39718425 × 10^-322≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-89 to the power 27,921
-89 to the power 3-704,969
-89 to the power 462,742,241
-89 to the power 5-5,584,059,449
First ten multiples-89, -178, -267, -356, -445, -534, -623, -712, -801, -890
Powers of twoBetween 2^6 (64) and 2^7 (128)
Divisibility tests
Divisible by 2No, remainder 1
Divisible by 3No, remainder 2
Divisible by 4No, remainder 1
Divisible by 5No, remainder 4
Divisible by 6No, remainder 5
Divisible by 7No, remainder 5
Divisible by 8No, remainder 1
Divisible by 9No, remainder 8
Divisible by 10No, remainder 9
Divisible by 11No, remainder 1
Divisible by 12No, remainder 5
Divisible by 100No, remainder 89
As a percentage & fraction
As a percentage-8,900%
-89% as a decimal-0.89
-89% of 100-89
-89% of 1,000-890
As a fraction of 100-89/100
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