478,764
478,764 is a composite number, even.
478,764 (four hundred seventy-eight thousand seven hundred sixty-four) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2² × 3³ × 11 × 13 × 31. Its proper divisors sum to 1,026,516, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x74E2C.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 36
- Digit product
- 37,632
- Digital root
- 9
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 467,874
- Square (n²)
- 229,214,967,696
- Cube (n³)
- 109,739,874,794,007,744
- Divisor count
- 96
- σ(n) — sum of divisors
- 1,505,280
- φ(n) — Euler's totient
- 129,600
- Sum of prime factors
- 68
Primality
Prime factorization: 2 2 × 3 3 × 11 × 13 × 31
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√478,764 = [691; (1, 12, 1, 5, 4, 1, 1, 37, 1, 7, 1, 5, 3, 1, 4, 1, 1, 153, 4, 1, 2, 54, 1, 344, …)]
Period length 48 — the block in parentheses repeats forever.
Representations
- In words
- four hundred seventy-eight thousand seven hundred sixty-four
- Ordinal
- 478764th
- Binary
- 1110100111000101100
- Octal
- 1647054
- Hexadecimal
- 0x74E2C
- Base64
- B04s
- One's complement
- 4,294,488,531 (32-bit)
- Scientific notation
- 4.78764 × 10⁵
- As a duration
- 478,764 s = 5 days, 12 hours, 59 minutes, 24 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵υοηψξδʹ
- Chinese
- 四十七萬八千七百六十四
- Chinese (financial)
- 肆拾柒萬捌仟柒佰陸拾肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 478764, here are decompositions:
- 17 + 478747 = 478764
- 23 + 478741 = 478764
- 37 + 478727 = 478764
- 53 + 478711 = 478764
- 67 + 478697 = 478764
- 113 + 478651 = 478764
- 127 + 478637 = 478764
- 137 + 478627 = 478764
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.78.44.
- Address
- 0.7.78.44
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.78.44
Unspecified address (0.0.0.0/8) — "this network" placeholder.
This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 478,764 and was likely granted around 1892.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
Related reading
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.