42,564
42,564 is a composite number, even.
42,564 (forty-two thousand five hundred sixty-four) is an even 5-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 3,547. Its proper divisors sum to 56,780, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xA644.
Interestingness
Properties
- Parity
- Even
- Digit count
- 5
- Digit sum
- 21
- Digit product
- 960
- Digital root
- 3
- Palindrome
- No
- Bit width
- 16 bits
- Reversed
- 46,524
- Recamán's sequence
- a(11,996) = 42,564
- Square (n²)
- 1,811,694,096
- Cube (n³)
- 77,112,947,502,144
- Divisor count
- 12
- σ(n) — sum of divisors
- 99,344
- φ(n) — Euler's totient
- 14,184
- Sum of prime factors
- 3,554
Primality
Prime factorization: 2 2 × 3 × 3547
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√42,564 = [206; (3, 4, 1, 1, 11, 4, 4, 1, 2, 1, 1, 1, 12, 3, 1, 5, 1, 2, 3, 1, 136, 1, 3, 2, …)]
Period length 42 — the block in parentheses repeats forever.
Representations
- In words
- forty-two thousand five hundred sixty-four
- Ordinal
- 42564th
- Binary
- 1010011001000100
- Octal
- 123104
- Hexadecimal
- 0xA644
- Base64
- pkQ=
- One's complement
- 22,971 (16-bit)
- Scientific notation
- 4.2564 × 10⁴
- As a duration
- 42,564 s = 11 hours, 49 minutes, 24 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵μβφξδʹ
- Mayan (base 20)
- 𝋥·𝋦·𝋨·𝋤
- Chinese
- 四萬二千五百六十四
- Chinese (financial)
- 肆萬貳仟伍佰陸拾肆
Digit at this position in famous constants
- π — Pi (π)
- Digit 42,564 = 7
- e — Euler's number (e)
- Digit 42,564 = 0
- φ — Golden ratio (φ)
- Digit 42,564 = 3
- √2 — Pythagoras's (√2)
- Digit 42,564 = 2
- ln 2 — Natural log of 2
- Digit 42,564 = 8
- γ — Euler-Mascheroni (γ)
- Digit 42,564 = 8
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 42564, here are decompositions:
- 7 + 42557 = 42564
- 31 + 42533 = 42564
- 73 + 42491 = 42564
- 97 + 42467 = 42564
- 101 + 42463 = 42564
- 103 + 42461 = 42564
- 107 + 42457 = 42564
- 113 + 42451 = 42564
Showing the first eight; more decompositions exist.
UTF-8 encoding: EA 99 84 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.166.68.
- Address
- 0.0.166.68
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.166.68
Unspecified address (0.0.0.0/8) — "this network" placeholder.
The digit sequence 42564 first appears in π at position 207,300 of the decimal expansion (the 207,300ordinal-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
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.