Recognised as Number
-828
- Negative
- Even
- 3 digits
-828 is an even 3-digit integer and the negative of 828. It has 18 divisors and a digital root of 9.
Number properties
ParityEvendivisible by 2
SignNegative
Absolute value828
Digit count3
Digit sum18
Digit product128
Multiplicative persistence3times the digit product can be taken before one digit is left
Digital root9repeated digit sum
PalindromicYesreads the same backwards
Factors & divisors
Prime factorisation−1 × 2^2 × 3^2 × 23
Distinct prime factors32, 3, 23
Number of divisors18
Sum of divisors σ(n)2,184
SquarefreeNohas a repeated prime factor
All divisors1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 82818 in total
Arithmetic
Representations
Decimal-828
Binary110011110010 bits
Octal1474
Hexadecimal33C
Base 36N0
In wordsminus eight hundred and twenty-eight
Ordinalminus eight hundred and twenty-eighth
Scientific notation-8.28 × 10^2
Engineering notation-828
In other bases
Ternary1010200base 3; the most digit-efficient integer base after e: 7 digits
Quinary11303base 5; one hand: 5 digits
Septenary2262base 7: 4 digits
Nonary1120base 9; each digit is two ternary digits: 4 digits
Duodecimal590base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimal218base 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal13:48base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternaryT0TT100digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary110111000100base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1111110011000100
Bit length10 bitsto write the magnitude
Set bits6the population count, or Hamming weight
Zero bits4within that length
Bit parityeven6 set bits, so even; not the same as the number itself being even
Highest set bitbit 9worth 512
Lowest set bitbit 22 trailing zeros
Power of twoNo
Bytes203 3c
Gray code1010100010n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit1111110011000100two's complement
32-bit11111111111111111111110011000100two's complement
64-bit1111111111111111111111111111111111111111111111111111110011000100two's complement
One's complement0000001100111011at 16 bits, every bit flipped
Bits reversed0010001100111111at 16 bits
Rotated left by 11111100110001001at 16 bits, wrapping
Shifted left by 1-11001111000= -1,656, no wrap
Shifted right by 1-110011110= -414, discarding the low bit
These bits as a double4.09086355 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-828 to the power 2685,584
-828 to the power 3-567,663,552
-828 to the power 4470,025,421,056
-828 to the power 5-389,181,048,634,368
First ten multiples-828, -1,656, -2,484, -3,312, -4,140, -4,968, -5,796, -6,624, -7,452, -8,280
Powers of twoBetween 2^9 (512) and 2^10 (1,024)
Divisibility tests
Divisible by 2Yes
Divisible by 3Yes
Divisible by 4Yes
Divisible by 5No, remainder 3
Divisible by 6Yes
Divisible by 7No, remainder 2
Divisible by 8No, remainder 4
Divisible by 9Yes
Divisible by 10No, remainder 8
Divisible by 11No, remainder 3
Divisible by 12Yes
Divisible by 100No, remainder 28
As a percentage & fraction
As a percentage-82,800%
-828% as a decimal-8.28
-828% of 100-828
-828% of 1,000-8,280
As a fraction of 100-828/100
Keep nerding
Every link below is a page Nerdulator can generate from what it already knows about this value.
Derived from -828
Nerdulate something else
Nothing in mind? Surprise me · today’s page