Recognised as Number
-838
- Negative
- Even
- 3 digits
-838 is an even 3-digit integer and the negative of 838. It has 4 divisors and a digital root of 1.
Number properties
ParityEvendivisible by 2
SignNegative
Absolute value838
Digit count3
Digit sum19
Digit product192
Multiplicative persistence3times the digit product can be taken before one digit is left
Digital root1repeated digit sum
PalindromicYesreads the same backwards
Factors & divisors
Prime factorisation−1 × 2 × 419
Distinct prime factors22, 419
Number of divisors4
Sum of divisors σ(n)1,260
SquarefreeYesno repeated prime factor
All divisors1, 2, 419, 8384 in total
Arithmetic
Representations
Decimal-838
Binary110100011010 bits
Octal1506
Hexadecimal346
Base 36NA
In wordsminus eight hundred and thirty-eight
Ordinalminus eight hundred and thirty-eighth
Scientific notation-8.38 × 10^2
Engineering notation-838
In other bases
Ternary1011001base 3; the most digit-efficient integer base after e: 7 digits
Quinary11323base 5; one hand: 5 digits
Septenary2305base 7: 4 digits
Nonary1131base 9; each digit is two ternary digits: 4 digits
Duodecimal59abase 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimal21ibase 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal13:58base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternaryT0TT00Tdigits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary110111001110base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1111110010111010
Bit length10 bitsto write the magnitude
Set bits5the population count, or Hamming weight
Zero bits5within that length
Bit parityodd5 set bits, so odd; not the same as the number itself being even
Highest set bitbit 9worth 512
Lowest set bitbit 11 trailing zero
Power of twoNo
Bytes203 46
Gray code1011100101n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit1111110010111010two's complement
32-bit11111111111111111111110010111010two's complement
64-bit1111111111111111111111111111111111111111111111111111110010111010two's complement
One's complement0000001101000101at 16 bits, every bit flipped
Bits reversed0101110100111111at 16 bits
Rotated left by 11111100101110101at 16 bits, wrapping
Shifted left by 1-11010001100= -1,676, no wrap
Shifted right by 1-110100011= -419, discarding the low bit
These bits as a double4.14027011 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-838 to the power 2702,244
-838 to the power 3-588,480,472
-838 to the power 4493,146,635,536
-838 to the power 5-413,256,880,579,168
First ten multiples-838, -1,676, -2,514, -3,352, -4,190, -5,028, -5,866, -6,704, -7,542, -8,380
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 5
Divisible by 8No, remainder 6
Divisible by 9No, remainder 1
Divisible by 10No, remainder 8
Divisible by 11No, remainder 2
Divisible by 12No, remainder 10
Divisible by 100No, remainder 38
As a percentage & fraction
As a percentage-83,800%
-838% as a decimal-8.38
-838% of 100-838
-838% of 1,000-8,380
As a fraction of 100-838/100
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