Recognised as Number
-1,789
- Negative
- Odd
- 4 digits
-1,789 is an odd 4-digit integer and the negative of 1,789. It has 2 divisors and a digital root of 7.
Number properties
ParityOddnot divisible by 2
SignNegative
Absolute value1,789
Digit count4
Digit sum25
Digit product504
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 × 1,789
Distinct prime factors11,789
Number of divisors2
Sum of divisors σ(n)1,790
SquarefreeYesno repeated prime factor
All divisors1, 1,7892 in total
Arithmetic
Representations
Decimal-1,789
Binary1101111110111 bits
Octal3375
Hexadecimal6FD
Base 361DP
In wordsminus one thousand, seven hundred and eighty-nine
Ordinalminus one thousand, seven hundred and eighty-ninth
Scientific notation-1.789 × 10^3
Engineering notation-1.789 × 10^3
In other bases
Ternary2110021base 3; the most digit-efficient integer base after e: 7 digits
Quinary24124base 5; one hand: 5 digits
Septenary5134base 7: 4 digits
Nonary2407base 9; each digit is two ternary digits: 4 digits
Duodecimal1051base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 4 digits
Vigesimal499base 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal29:49base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternaryT1TT0T1Tdigits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary100100000111base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1111100100000011
Bit length11 bitsto write the magnitude
Set bits9the population count, or Hamming weight
Zero bits2within that length
Bit parityodd9 set bits, so odd; not the same as the number itself being odd
Highest set bitbit 10worth 1,024
Lowest set bitbit 00 trailing zeros
Power of twoNo
Bytes206 fd
Gray code10110000011n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit1111100100000011two's complement
32-bit11111111111111111111100100000011two's complement
64-bit1111111111111111111111111111111111111111111111111111100100000011two's complement
One's complement0000011011111100at 16 bits, every bit flipped
Bits reversed1100000010011111at 16 bits
Rotated left by 11111001000000111at 16 bits, wrapping
Shifted left by 1-110111111010= -3,578, no wrap
Shifted right by 1-1101111111= -894, discarding the low bit
These bits as a double8.8388344 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-1,789 to the power 23,200,521
-1,789 to the power 3-5,725,732,069
-1,789 to the power 410,243,334,671,441
-1,789 to the power 5-18,325,325,727,207,949
First ten multiples-1,789, -3,578, -5,367, -7,156, -8,945, -10,734, -12,523, -14,312, -16,101, -17,890
Powers of twoBetween 2^10 (1,024) and 2^11 (2,048)
Divisibility tests
Divisible by 2No, remainder 1
Divisible by 3No, remainder 1
Divisible by 4No, remainder 1
Divisible by 5No, remainder 4
Divisible by 6No, remainder 1
Divisible by 7No, remainder 4
Divisible by 8No, remainder 5
Divisible by 9No, remainder 7
Divisible by 10No, remainder 9
Divisible by 11No, remainder 7
Divisible by 12No, remainder 1
Divisible by 100No, remainder 89
As a percentage & fraction
As a percentage-178,900%
-1,789% as a decimal-17.89
-1,789% of 100-1,789
-1,789% of 1,000-17,890
As a fraction of 100-1,789/100
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