Recognised as Number
-42,426
- Negative
- Even
- 5 digits
-42,426 is an even 5-digit integer and the negative of 42,426. It has 12 divisors and a digital root of 9.
Number properties
ParityEvendivisible by 2
SignNegative
Absolute value42,426
Digit count5
Digit sum18
Digit product384
Multiplicative persistence5times the digit product can be taken before one digit is left
Digital root9repeated digit sum
PalindromicNoreads differently backwards
Factors & divisors
Prime factorisation−1 × 2 × 3^2 × 2,357
Distinct prime factors32, 3, 2,357
Number of divisors12
Sum of divisors σ(n)91,962
SquarefreeNohas a repeated prime factor
All divisors1, 2, 3, 6, 9, 18, 2,357, 4,714, 7,071, 14,142, 21,213, 42,42612 in total
Arithmetic
Representations
Decimal-42,426
Binary101001011011101016 bits
Octal122672
HexadecimalA5BA
Base 36WQI
In wordsminus forty-two thousand, four hundred and twenty-six
Ordinalminus forty-two thousand, four hundred and twenty-sixth
Scientific notation-4.2426 × 10^4
Engineering notation-42.426 × 10^3
In other bases
Ternary2011012100base 3; the most digit-efficient integer base after e: 10 digits
Quinary2324201base 5; one hand: 7 digits
Septenary234456base 7: 6 digits
Nonary64170base 9; each digit is two ternary digits: 5 digits
Duodecimal20676base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 5 digits
Vigesimal5616base 20; hands and feet, and the Mayan and Yoruba systems: 4 digits
Sexagesimal11:47:6base 60; Babylonian, and still how an hour and a circle are divided: 3 digits
Balanced ternaryT10TTT11T00digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary1010111001011010base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
11111111111111110101101001000110
Bit length16 bitsto write the magnitude
Set bits9the population count, or Hamming weight
Zero bits7within that length
Bit parityodd9 set bits, so odd; not the same as the number itself being even
Highest set bitbit 15worth 32,768
Lowest set bitbit 11 trailing zero
Power of twoNo
Bytes2a5 ba
Gray code1111011101100111n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
32-bit11111111111111110101101001000110two's complement
64-bit1111111111111111111111111111111111111111111111110101101001000110two's complement
One's complement00000000000000001010010110111001at 32 bits, every bit flipped
Bits reversed01100010010110101111111111111111at 32 bits
Rotated left by 111111111111111101011010010001101at 32 bits, wrapping
Shifted left by 1-10100101101110100= -84,852, no wrap
Shifted right by 1-101001011011101= -21,213, discarding the low bit
These bits as a double2.09612291 × 10^-319≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-42,426 to the power 21,799,965,476
-42,426 to the power 3-76,365,335,284,776
-42,426 to the power 43,239,875,714,791,906,576
-42,426 to the power 5-137,454,967,075,761,428,393,376
First ten multiples-42,426, -84,852, -127,278, -169,704, -212,130, -254,556, -296,982, -339,408, -381,834, -424,260
Powers of twoBetween 2^15 (32,768) and 2^16 (65,536)
Divisibility tests
Divisible by 2Yes
Divisible by 3Yes
Divisible by 4No, remainder 2
Divisible by 5No, remainder 1
Divisible by 6Yes
Divisible by 7No, remainder 6
Divisible by 8No, remainder 2
Divisible by 9Yes
Divisible by 10No, remainder 6
Divisible by 11No, remainder 10
Divisible by 12No, remainder 6
Divisible by 100No, remainder 26
As a percentage & fraction
As a percentage-4,242,600%
-42,426% as a decimal-424.26
-42,426% of 100-42,426
-42,426% of 1,000-424,260
As a fraction of 100-42,426/100
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