57,664
57,664 is a composite number, even.
57,664 (fifty-seven thousand six hundred sixty-four) is an even 5-digit number. It is a composite number with 28 divisors, and factors as 2⁶ × 17 × 53. Its proper divisors sum to 65,780, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xE140.
Interestingness
Properties
- Parity
- Even
- Digit count
- 5
- Digit sum
- 28
- Digit product
- 5,040
- Digital root
- 1
- Palindrome
- No
- Bit width
- 16 bits
- Reversed
- 46,675
- Recamán's sequence
- a(55,880) = 57,664
- Square (n²)
- 3,325,136,896
- Cube (n³)
- 191,740,693,970,944
- Divisor count
- 28
- σ(n) — sum of divisors
- 123,444
- φ(n) — Euler's totient
- 26,624
- Sum of prime factors
- 82
Primality
Prime factorization: 2 6 × 17 × 53
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√57,664 = [240; (7, 1, 1, 119, 1, 1, 7, 480)]
Period length 8 — the block in parentheses repeats forever.
Representations
- In words
- fifty-seven thousand six hundred sixty-four
- Ordinal
- 57664th
- Binary
- 1110000101000000
- Octal
- 160500
- Hexadecimal
- 0xE140
- Base64
- 4UA=
- One's complement
- 7,871 (16-bit)
- Scientific notation
- 5.7664 × 10⁴
- As a duration
- 57,664 s = 16 hours, 1 minute, 4 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹 𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵νζχξδʹ
- Mayan (base 20)
- 𝋧·𝋤·𝋣·𝋤
- Chinese
- 五萬七千六百六十四
- Chinese (financial)
- 伍萬柒仟陸佰陸拾肆
Digit at this position in famous constants
- π — Pi (π)
- Digit 57,664 = 1
- e — Euler's number (e)
- Digit 57,664 = 8
- φ — Golden ratio (φ)
- Digit 57,664 = 8
- √2 — Pythagoras's (√2)
- Digit 57,664 = 3
- ln 2 — Natural log of 2
- Digit 57,664 = 7
- γ — Euler-Mascheroni (γ)
- Digit 57,664 = 5
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 57664, here are decompositions:
- 11 + 57653 = 57664
- 23 + 57641 = 57664
- 71 + 57593 = 57664
- 107 + 57557 = 57664
- 137 + 57527 = 57664
- 197 + 57467 = 57664
- 251 + 57413 = 57664
- 281 + 57383 = 57664
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.0.225.64.
- Address
- 0.0.225.64
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.225.64
Unspecified address (0.0.0.0/8) — "this network" placeholder.
The digit sequence 57664 first appears in π at position 7,556 of the decimal expansion (the 7,556ordinal-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.