64,000
64,000 is a composite number, even.
64,000 (sixty-four thousand) is an even 5-digit number. It is a composite number with 40 divisors, and factors as 2⁹ × 5³. Its proper divisors sum to 95,588, more than the number itself, making it an abundant number. It is a perfect cube (40³). Written other ways, in hexadecimal, 0xFA00.
Interestingness
Properties
- Parity
- Even
- Digit count
- 5
- Digit sum
- 10
- Digit product
- 0
- Digital root
- 1
- Palindrome
- No
- Bit width
- 16 bits
- Reversed
- 46
- Recamán's sequence
- a(286,900) = 64,000
- Square (n²)
- 4,096,000,000
- Cube (n³)
- 262,144,000,000,000
- Cube root (∛n)
- 40
- Divisor count
- 40
- σ(n) — sum of divisors
- 159,588
- φ(n) — Euler's totient
- 25,600
- Sum of prime factors
- 33
Primality
Prime factorization: 2 9 × 5 3
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√64,000 = [252; (1, 55, 4, 1, 1, 5, 1, 2, 4, 4, 1, 4, 1, 7, 12, 1, 5, 2, 12, 1, 1, 19, 1, 2, …)]
Representations
- In words
- sixty-four thousand
- Ordinal
- 64000th
- Binary
- 1111101000000000
- Octal
- 175000
- Hexadecimal
- 0xFA00
- Base64
- +gA=
- One's complement
- 1,535 (16-bit)
- Scientific notation
- 6.4 × 10⁴
- As a duration
- 64,000 s = 17 hours, 46 minutes, 40 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
- Egyptian hieroglyphic
- 𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼
- Greek (Milesian)
- ͵ξδ
- Mayan (base 20)
- 𝋨·𝋠·𝋠·𝋠
- Chinese
- 六萬四千
- Chinese (financial)
- 陸萬肆仟
Digit at this position in famous constants
- π — Pi (π)
- Digit 64,000 = 9
- e — Euler's number (e)
- Digit 64,000 = 2
- φ — Golden ratio (φ)
- Digit 64,000 = 8
- √2 — Pythagoras's (√2)
- Digit 64,000 = 8
- ln 2 — Natural log of 2
- Digit 64,000 = 9
- γ — Euler-Mascheroni (γ)
- Digit 64,000 = 1
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 64000, here are decompositions:
- 3 + 63997 = 64000
- 23 + 63977 = 64000
- 71 + 63929 = 64000
- 137 + 63863 = 64000
- 191 + 63809 = 64000
- 197 + 63803 = 64000
- 227 + 63773 = 64000
- 239 + 63761 = 64000
Showing the first eight; more decompositions exist.
UTF-8 encoding: EF A8 80 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.250.0.
- Address
- 0.0.250.0
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.250.0
Unspecified address (0.0.0.0/8) — "this network" placeholder.
The digit sequence 64000 first appears in π at position 37,320 of the decimal expansion (the 37,320ordinal-suffix:th digit after the integer 3).
Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.
Related reading
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.