Recognised as Number
-4,012
- Negative
- Even
- 4 digits
-4,012 is an even 4-digit integer and the negative of 4,012. It has 12 divisors and a digital root of 7.
Number properties
ParityEvendivisible by 2
SignNegative
Absolute value4,012
Digit count4
Digit sum7
Digit product0zero, because one of the digits is zero
Multiplicative persistence1times the digit product can be taken before one digit is left
Digital root7repeated digit sum
PalindromicNoreads differently backwards
Factors & divisors
Prime factorisation−1 × 2^2 × 17 × 59
Distinct prime factors32, 17, 59
Number of divisors12
Sum of divisors σ(n)7,560
SquarefreeNohas a repeated prime factor
All divisors1, 2, 4, 17, 34, 59, 68, 118, 236, 1,003, 2,006, 4,01212 in total
Arithmetic
Previous number-4,013
Next number-4,011
Double-8,024
Half-2,006
Square16,096,144
Cube-64,577,729,728
Cube root-15.889868683≈
Negation4,012
Reciprocal-0.0002492522≈
Representations
Decimal-4,012
Binary11111010110012 bits
Octal7654
HexadecimalFAC
Base 3633G
In wordsminus four thousand and twelve
Ordinalminus four thousand and twelfth
Scientific notation-4.012 × 10^3
Engineering notation-4.012 × 10^3
In other bases
Ternary12111121base 3; the most digit-efficient integer base after e: 8 digits
Quinary112022base 5; one hand: 6 digits
Septenary14461base 7: 5 digits
Nonary5447base 9; each digit is two ternary digits: 4 digits
Duodecimal23a4base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 4 digits
Vigesimala0cbase 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal1:6:52base 60; Babylonian, and still how an hour and a circle are divided: 3 digits
Balanced ternaryT1011111Tdigits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary11000001010100base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1111000001010100
Bit length12 bitsto write the magnitude
Set bits8the population count, or Hamming weight
Zero bits4within that length
Bit parityeven8 set bits, so even; not the same as the number itself being even
Highest set bitbit 11worth 2,048
Lowest set bitbit 22 trailing zeros
Power of twoNo
Bytes20f ac
Gray code100001111010n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit1111000001010100two's complement
32-bit11111111111111111111000001010100two's complement
64-bit1111111111111111111111111111111111111111111111111111000001010100two's complement
One's complement0000111110101011at 16 bits, every bit flipped
Bits reversed0010101000001111at 16 bits
Rotated left by 11110000010101001at 16 bits, wrapping
Shifted left by 1-1111101011000= -8,024, no wrap
Shifted right by 1-11111010110= -2,006, discarding the low bit
These bits as a double1.98219137 × 10^-320≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-4,012 to the power 216,096,144
-4,012 to the power 3-64,577,729,728
-4,012 to the power 4259,085,851,668,736
-4,012 to the power 5-1,039,452,436,894,968,832
First ten multiples-4,012, -8,024, -12,036, -16,048, -20,060, -24,072, -28,084, -32,096, -36,108, -40,120
Powers of twoBetween 2^11 (2,048) and 2^12 (4,096)
Divisibility tests
Divisible by 2Yes
Divisible by 3No, remainder 1
Divisible by 4Yes
Divisible by 5No, remainder 2
Divisible by 6No, remainder 4
Divisible by 7No, remainder 1
Divisible by 8No, remainder 4
Divisible by 9No, remainder 7
Divisible by 10No, remainder 2
Divisible by 11No, remainder 8
Divisible by 12No, remainder 4
Divisible by 100No, remainder 12
As a percentage & fraction
As a percentage-401,200%
-4,012% as a decimal-40.12
-4,012% of 100-4,012
-4,012% of 1,000-40,120
As a fraction of 100-4,012/100
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