42,768
42,768 is a composite number, even.
42,768 (forty-two thousand seven hundred sixty-eight) is an even 5-digit number. It is a composite number with 60 divisors, and factors as 2⁴ × 3⁵ × 11. Its proper divisors sum to 92,640, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xA710.
Interestingness
Properties
- Parity
- Even
- Digit count
- 5
- Digit sum
- 27
- Digit product
- 2,688
- Digital root
- 9
- Palindrome
- No
- Bit width
- 16 bits
- Reversed
- 86,724
- Recamán's sequence
- a(73,056) = 42,768
- Square (n²)
- 1,829,101,824
- Cube (n³)
- 78,227,026,808,832
- Divisor count
- 60
- σ(n) — sum of divisors
- 135,408
- φ(n) — Euler's totient
- 12,960
- Sum of prime factors
- 34
Primality
Prime factorization: 2 4 × 3 5 × 11
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√42,768 = [206; (1, 4, 9, 4, 1, 412)]
Period length 6 — the block in parentheses repeats forever.
Representations
- In words
- forty-two thousand seven hundred sixty-eight
- Ordinal
- 42768th
- Binary
- 1010011100010000
- Octal
- 123420
- Hexadecimal
- 0xA710
- Base64
- pxA=
- One's complement
- 22,767 (16-bit)
- Scientific notation
- 4.2768 × 10⁴
- As a duration
- 42,768 s = 11 hours, 52 minutes, 48 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵μβψξηʹ
- Mayan (base 20)
- 𝋥·𝋦·𝋲·𝋨
- Chinese
- 四萬二千七百六十八
- Chinese (financial)
- 肆萬貳仟柒佰陸拾捌
Digit at this position in famous constants
- π — Pi (π)
- Digit 42,768 = 9
- e — Euler's number (e)
- Digit 42,768 = 6
- φ — Golden ratio (φ)
- Digit 42,768 = 7
- √2 — Pythagoras's (√2)
- Digit 42,768 = 3
- ln 2 — Natural log of 2
- Digit 42,768 = 6
- γ — Euler-Mascheroni (γ)
- Digit 42,768 = 9
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 42768, here are decompositions:
- 17 + 42751 = 42768
- 31 + 42737 = 42768
- 41 + 42727 = 42768
- 59 + 42709 = 42768
- 67 + 42701 = 42768
- 71 + 42697 = 42768
- 79 + 42689 = 42768
- 101 + 42667 = 42768
Showing the first eight; more decompositions exist.
UTF-8 encoding: EA 9C 90 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.167.16.
- Address
- 0.0.167.16
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.167.16
Unspecified address (0.0.0.0/8) — "this network" placeholder.
The digit sequence 42768 first appears in π at position 17,509 of the decimal expansion (the 17,509ordinal-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°.