Recognised as Number
-538
- Negative
- Even
- 3 digits
-538 is an even 3-digit integer and the negative of 538. It has 4 divisors and a digital root of 7.
Number properties
ParityEvendivisible by 2
SignNegative
Absolute value538
Digit count3
Digit sum16
Digit product120
Multiplicative persistence2times the digit product can be taken before one digit is left
Digital root7repeated digit sum
PalindromicNoreads differently backwards
Factors & divisors
Prime factorisation−1 × 2 × 269
Distinct prime factors22, 269
Number of divisors4
Sum of divisors σ(n)810
SquarefreeYesno repeated prime factor
All divisors1, 2, 269, 5384 in total
Arithmetic
Representations
Decimal-538
Binary100001101010 bits
Octal1032
Hexadecimal21A
Base 36EY
In wordsminus five hundred and thirty-eight
Ordinalminus five hundred and thirty-eighth
Scientific notation-5.38 × 10^2
Engineering notation-538
In other bases
Ternary201221base 3; the most digit-efficient integer base after e: 6 digits
Quinary4123base 5; one hand: 4 digits
Septenary1366base 7: 4 digits
Nonary657base 9; each digit is two ternary digits: 3 digits
Duodecimal38abase 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimal16ibase 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal8:58base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternaryT1T101Tdigits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary1000111010base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1111110111100110
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 11 trailing zero
Power of twoNo
Bytes202 1a
Gray code1100010111n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit1111110111100110two's complement
32-bit11111111111111111111110111100110two's complement
64-bit1111111111111111111111111111111111111111111111111111110111100110two's complement
One's complement0000001000011001at 16 bits, every bit flipped
Bits reversed0110011110111111at 16 bits
Rotated left by 11111101111001101at 16 bits, wrapping
Shifted left by 1-10000110100= -1,076, no wrap
Shifted right by 1-100001101= -269, discarding the low bit
These bits as a double2.65807317 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-538 to the power 2289,444
-538 to the power 3-155,720,872
-538 to the power 483,777,829,136
-538 to the power 5-45,072,472,075,168
First ten multiples-538, -1,076, -1,614, -2,152, -2,690, -3,228, -3,766, -4,304, -4,842, -5,380
Powers of twoBetween 2^9 (512) and 2^10 (1,024)
Divisibility tests
Divisible by 2Yes
Divisible by 3No, remainder 1
Divisible by 4No, remainder 2
Divisible by 5No, remainder 3
Divisible by 6No, remainder 4
Divisible by 7No, remainder 6
Divisible by 8No, remainder 2
Divisible by 9No, remainder 7
Divisible by 10No, remainder 8
Divisible by 11No, remainder 10
Divisible by 12No, remainder 10
Divisible by 100No, remainder 38
As a percentage & fraction
As a percentage-53,800%
-538% as a decimal-5.38
-538% of 100-538
-538% of 1,000-5,380
As a fraction of 100-538/100
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