Recognised as Number
-748
- Negative
- Even
- 3 digits
-748 is an even 3-digit integer and the negative of 748. It has 12 divisors and a digital root of 1.
Number properties
ParityEvendivisible by 2
SignNegative
Absolute value748
Digit count3
Digit sum19
Digit product224
Multiplicative persistence3times the digit product can be taken before one digit is left
Digital root1repeated digit sum
PalindromicNoreads differently backwards
Factors & divisors
Prime factorisation−1 × 2^2 × 11 × 17
Distinct prime factors32, 11, 17
Number of divisors12
Sum of divisors σ(n)1,512
SquarefreeNohas a repeated prime factor
All divisors1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 74812 in total
Arithmetic
Representations
Decimal-748
Binary101110110010 bits
Octal1354
Hexadecimal2EC
Base 36KS
In wordsminus seven hundred and forty-eight
Ordinalminus seven hundred and forty-eighth
Scientific notation-7.48 × 10^2
Engineering notation-748
In other bases
Ternary1000201base 3; the most digit-efficient integer base after e: 7 digits
Quinary10443base 5; one hand: 5 digits
Septenary2116base 7: 4 digits
Nonary1021base 9; each digit is two ternary digits: 4 digits
Duodecimal524base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimal1h8base 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal12:28base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternaryT00T10Tdigits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary110100010100base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1111110100010100
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
Bytes202 ec
Gray code1110011010n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit1111110100010100two's complement
32-bit11111111111111111111110100010100two's complement
64-bit1111111111111111111111111111111111111111111111111111110100010100two's complement
One's complement0000001011101011at 16 bits, every bit flipped
Bits reversed0010100010111111at 16 bits
Rotated left by 11111101000101001at 16 bits, wrapping
Shifted left by 1-10111011000= -1,496, no wrap
Shifted right by 1-101110110= -374, discarding the low bit
These bits as a double3.69561103 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-748 to the power 2559,504
-748 to the power 3-418,508,992
-748 to the power 4313,044,726,016
-748 to the power 5-234,157,455,059,968
First ten multiples-748, -1,496, -2,244, -2,992, -3,740, -4,488, -5,236, -5,984, -6,732, -7,480
Powers of twoBetween 2^9 (512) and 2^10 (1,024)
Divisibility tests
Divisible by 2Yes
Divisible by 3No, remainder 1
Divisible by 4Yes
Divisible by 5No, remainder 3
Divisible by 6No, remainder 4
Divisible by 7No, remainder 6
Divisible by 8No, remainder 4
Divisible by 9No, remainder 1
Divisible by 10No, remainder 8
Divisible by 11Yes
Divisible by 12No, remainder 4
Divisible by 100No, remainder 48
As a percentage & fraction
As a percentage-74,800%
-748% as a decimal-7.48
-748% of 100-748
-748% of 1,000-7,480
As a fraction of 100-748/100
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