478,800
478,800 is a composite number, even.
478,800 (four hundred seventy-eight thousand eight hundred) is an even 6-digit number. It is a composite number with 180 divisors, and factors as 2⁴ × 3² × 5² × 7 × 19. Its proper divisors sum to 1,520,080, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x74E50.
Interestingness
Properties
Primality
Prime factorization: 2 4 × 3 2 × 5 2 × 7 × 19
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√478,800 = [691; (1, 20, 1, 1, 1, 1, 1, 20, 1, 1382)]
Period length 10 — the block in parentheses repeats forever.
Representations
- In words
- four hundred seventy-eight thousand eight hundred
- Ordinal
- 478800th
- Binary
- 1110100111001010000
- Octal
- 1647120
- Hexadecimal
- 0x74E50
- Base64
- B05Q
- One's complement
- 4,294,488,495 (32-bit)
- Scientific notation
- 4.788 × 10⁵
- As a duration
- 478,800 s = 5 days, 13 hours
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹𒁹𒁹 · ·
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢
- Greek (Milesian)
- ͵υοηωʹ
- Chinese
- 四十七萬八千八百
- Chinese (financial)
- 肆拾柒萬捌仟捌佰
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 478800, here are decompositions:
- 13 + 478787 = 478800
- 31 + 478769 = 478800
- 37 + 478763 = 478800
- 53 + 478747 = 478800
- 59 + 478741 = 478800
- 61 + 478739 = 478800
- 71 + 478729 = 478800
- 73 + 478727 = 478800
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.78.80.
- Address
- 0.7.78.80
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.78.80
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 478,800 and was likely granted around 1892.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 478800 first appears in π at position 461,489 of the decimal expansion (the 461,489ordinal-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°.