Recognised as Number
-45
- Negative
- Odd
- 2 digits
-45 is an odd 2-digit integer and the negative of 45. It has 6 divisors and a digital root of 9.
Number properties
ParityOddnot divisible by 2
SignNegative
Absolute value45
Digit count2
Digit sum9
Digit product20
Multiplicative persistence2times the digit product can be taken before one digit is left
Digital root9repeated digit sum
PalindromicNoreads differently backwards
Factors & divisors
Prime factorisation−1 × 3^2 × 5
Distinct prime factors23, 5
Number of divisors6
Sum of divisors σ(n)78
SquarefreeNohas a repeated prime factor
All divisors1, 3, 5, 9, 15, 456 in total
Arithmetic
Representations
Decimal-45
Binary1011016 bits
Octal55
Hexadecimal2D
Base 3619
In wordsminus forty-five
Ordinalminus forty-fifth
Scientific notation-4.5 × 10^1
Engineering notation-45
In other bases
Ternary1200base 3; the most digit-efficient integer base after e: 4 digits
Quinary140base 5; one hand: 3 digits
Septenary63base 7: 2 digits
Nonary50base 9; each digit is two ternary digits: 2 digits
Duodecimal39base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 2 digits
Vigesimal25base 20; hands and feet, and the Mayan and Yoruba systems: 2 digits
Sexagesimal45base 60; Babylonian, and still how an hour and a circle are divided: 1 digit
Balanced ternaryT1100digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary11010111base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
11010011
Bit length6 bitsto write the magnitude
Set bits4the population count, or Hamming weight
Zero bits2within that length
Bit parityeven4 set bits, so even; not the same as the number itself being odd
Highest set bitbit 5worth 32
Lowest set bitbit 00 trailing zeros
Power of twoNo
Bytes12d
Gray code111011n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
8-bit11010011two's complement
16-bit1111111111010011two's complement
32-bit11111111111111111111111111010011two's complement
64-bit1111111111111111111111111111111111111111111111111111111111010011two's complement
One's complement00101100at 8 bits, every bit flipped
Bits reversed11001011at 8 bits
Rotated left by 110100111at 8 bits, wrapping
Shifted left by 1-1011010= -90, no wrap
Shifted right by 1-10111= -22, discarding the low bit
These bits as a double2.22329541 × 10^-322≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-45 to the power 22,025
-45 to the power 3-91,125
-45 to the power 44,100,625
-45 to the power 5-184,528,125
First ten multiples-45, -90, -135, -180, -225, -270, -315, -360, -405, -450
Powers of twoBetween 2^5 (32) and 2^6 (64)
Divisibility tests
Divisible by 2No, remainder 1
Divisible by 3Yes
Divisible by 4No, remainder 1
Divisible by 5Yes
Divisible by 6No, remainder 3
Divisible by 7No, remainder 3
Divisible by 8No, remainder 5
Divisible by 9Yes
Divisible by 10No, remainder 5
Divisible by 11No, remainder 1
Divisible by 12No, remainder 9
Divisible by 100No, remainder 45
As a percentage & fraction
As a percentage-4,500%
-45% as a decimal-0.45
-45% of 100-45
-45% of 1,000-450
As a fraction of 100-45/100
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