Recognised as Number
-42,425
- Negative
- Odd
- 5 digits
-42,425 is an odd 5-digit integer and the negative of 42,425. It has 6 divisors and a digital root of 8.
Number properties
ParityOddnot divisible by 2
SignNegative
Absolute value42,425
Digit count5
Digit sum17
Digit product320
Multiplicative persistence2times the digit product can be taken before one digit is left
Digital root8repeated digit sum
PalindromicNoreads differently backwards
Factors & divisors
Prime factorisation−1 × 5^2 × 1,697
Distinct prime factors25, 1,697
Number of divisors6
Sum of divisors σ(n)52,638
SquarefreeNohas a repeated prime factor
All divisors1, 5, 25, 1,697, 8,485, 42,4256 in total
Arithmetic
Representations
Decimal-42,425
Binary101001011011100116 bits
Octal122671
HexadecimalA5B9
Base 36WQH
In wordsminus forty-two thousand, four hundred and twenty-five
Ordinalminus forty-two thousand, four hundred and twenty-fifth
Scientific notation-4.2425 × 10^4
Engineering notation-42.425 × 10^3
In other bases
Ternary2011012022base 3; the most digit-efficient integer base after e: 10 digits
Quinary2324200base 5; one hand: 7 digits
Septenary234455base 7: 6 digits
Nonary64168base 9; each digit is two ternary digits: 5 digits
Duodecimal20675base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 5 digits
Vigesimal5615base 20; hands and feet, and the Mayan and Yoruba systems: 4 digits
Sexagesimal11:47:5base 60; Babylonian, and still how an hour and a circle are divided: 3 digits
Balanced ternaryT10TTT11T01digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary1010111001011011base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
11111111111111110101101001000111
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 odd
Highest set bitbit 15worth 32,768
Lowest set bitbit 00 trailing zeros
Power of twoNo
Bytes2a5 b9
Gray code1111011101100101n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
32-bit11111111111111110101101001000111two's complement
64-bit1111111111111111111111111111111111111111111111110101101001000111two's complement
One's complement00000000000000001010010110111000at 32 bits, every bit flipped
Bits reversed11100010010110101111111111111111at 32 bits
Rotated left by 111111111111111101011010010001111at 32 bits, wrapping
Shifted left by 1-10100101101110010= -84,850, no wrap
Shifted right by 1-101001011011101= -21,212, discarding the low bit
These bits as a double2.0960735 × 10^-319≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-42,425 to the power 21,799,880,625
-42,425 to the power 3-76,359,935,515,625
-42,425 to the power 43,239,570,264,250,390,625
-42,425 to the power 5-137,438,768,460,822,822,265,625
First ten multiples-42,425, -84,850, -127,275, -169,700, -212,125, -254,550, -296,975, -339,400, -381,825, -424,250
Powers of twoBetween 2^15 (32,768) and 2^16 (65,536)
Divisibility tests
Divisible by 2No, remainder 1
Divisible by 3No, remainder 2
Divisible by 4No, remainder 1
Divisible by 5Yes
Divisible by 6No, remainder 5
Divisible by 7No, remainder 5
Divisible by 8No, remainder 1
Divisible by 9No, remainder 8
Divisible by 10No, remainder 5
Divisible by 11No, remainder 9
Divisible by 12No, remainder 5
Divisible by 100No, remainder 25
As a percentage & fraction
As a percentage-4,242,500%
-42,425% as a decimal-424.25
-42,425% of 100-42,425
-42,425% of 1,000-424,250
As a fraction of 100-42,425/100
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