Recognised as Number
-4,000,002
- Negative
- Even
- 7 digits
-4,000,002 is an even 7-digit integer and the negative of 4,000,002. It has 8 divisors and a digital root of 6.
Number properties
ParityEvendivisible by 2
SignNegative
Absolute value4,000,002
Digit count7
Digit sum6
Digit product0zero, because one of the digits is zero
Multiplicative persistence1times the digit product can be taken before one digit is left
Digital root6repeated digit sum
PalindromicNoreads differently backwards
Factors & divisors
Prime factorisation−1 × 2 × 3 × 666,667
Distinct prime factors32, 3, 666,667
Number of divisors8
Sum of divisors σ(n)8,000,016
SquarefreeYesno repeated prime factor
All divisors1, 2, 3, 6, 666,667, 1,333,334, 2,000,001, 4,000,0028 in total
Arithmetic
Previous number-4,000,003
Next number-4,000,001
Double-8,000,004
Half-2,000,001
Square16,000,016,000,004
Cube-64,000,096,000,048,000,008
Cube root-158.740131653≈
Negation4,000,002
Reciprocal-2.49999875 × 10^-7≈
Representations
Decimal-4,000,002
Binary111101000010010000001022 bits
Octal17204402
Hexadecimal3D0902
Base 362DQF6
In wordsminus four million and two
Ordinalminus four million and second
Scientific notation-4.000002 × 10^6
Engineering notation-4.000002 × 10^6
In other bases
Ternary21112012222020base 3; the most digit-efficient integer base after e: 14 digits
Quinary2011000002base 5; one hand: 10 digits
Septenary45666546base 7: 8 digits
Nonary7465866base 9; each digit is two ternary digits: 7 digits
Duodecimal140a996base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 7 digits
Vigesimal150002base 20; hands and feet, and the Mayan and Yoruba systems: 6 digits
Sexagesimal18:31:6:42base 60; Babylonian, and still how an hour and a circle are divided: 4 digits
Balanced ternaryT01111T10001T10digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary110001110000101100000010base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
11111111110000101111011011111110
Bit length22 bitsto write the magnitude
Set bits8the population count, or Hamming weight
Zero bits14within that length
Bit parityeven8 set bits, so even; not the same as the number itself being even
Highest set bitbit 21worth 2,097,152
Lowest set bitbit 11 trailing zero
Power of twoNo
Bytes33d 09 02
Gray code1000111000110110000011n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
32-bit11111111110000101111011011111110two's complement
64-bit1111111111111111111111111111111111111111110000101111011011111110two's complement
One's complement00000000001111010000100100000001at 32 bits, every bit flipped
Bits reversed01111111011011110100001111111111at 32 bits
Rotated left by 111111111100001011110110111111101at 32 bits, wrapping
Shifted left by 1-11110100001001000000100= -8,000,004, no wrap
Shifted right by 1-111101000010010000001= -2,000,001, discarding the low bit
These bits as a double1.97626357 × 10^-317≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-4,000,002 to the power 216,000,016,000,004
-4,000,002 to the power 3-64,000,096,000,048,000,008
-4,000,002 to the power 4256,000,512,000,384,000,128,000,016
-4,000,002 to the power 5-1,024,002,560,002,560,001,280,000,320,000,032
First ten multiples-4,000,002, -8,000,004, -12,000,006, -16,000,008, -20,000,010, -24,000,012, -28,000,014, -32,000,016, -36,000,018, -40,000,020
Powers of twoBetween 2^21 (2,097,152) and 2^22 (4,194,304)
Divisibility tests
Divisible by 2Yes
Divisible by 3Yes
Divisible by 4No, remainder 2
Divisible by 5No, remainder 2
Divisible by 6Yes
Divisible by 7No, remainder 6
Divisible by 8No, remainder 2
Divisible by 9No, remainder 6
Divisible by 10No, remainder 2
Divisible by 11No, remainder 6
Divisible by 12No, remainder 6
Divisible by 100No, remainder 2
As a percentage & fraction
As a percentage-400,000,200%
-4,000,002% as a decimal-40,000.02
-4,000,002% of 100-4,000,002
-4,000,002% of 1,000-40,000,020
As a fraction of 100-4,000,002/100
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Derived from -4,000,002
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