475,728
475,728 is a composite number, even.
475,728 (four hundred seventy-five thousand seven hundred twenty-eight) is an even 6-digit number. It is a composite number with 80 divisors, and factors as 2⁴ × 3 × 11 × 17 × 53. Its proper divisors sum to 970,608, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x74250.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 33
- Digit product
- 15,680
- Digital root
- 6
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 827,574
- Square (n²)
- 226,317,129,984
- Cube (n³)
- 107,665,395,613,028,352
- Divisor count
- 80
- σ(n) — sum of divisors
- 1,446,336
- φ(n) — Euler's totient
- 133,120
- Sum of prime factors
- 92
Primality
Prime factorization: 2 4 × 3 × 11 × 17 × 53
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√475,728 = [689; (1, 2, 1, 2, 2, 3, 2, 1, 1, 20, 1, 27, 5, 27, 1, 20, 1, 1, 2, 3, 2, 2, 1, 2, …)]
Period length 26 — the block in parentheses repeats forever.
Representations
- In words
- four hundred seventy-five thousand seven hundred twenty-eight
- Ordinal
- 475728th
- Binary
- 1110100001001010000
- Octal
- 1641120
- Hexadecimal
- 0x74250
- Base64
- B0JQ
- One's complement
- 4,294,491,567 (32-bit)
- Scientific notation
- 4.75728 × 10⁵
- As a duration
- 475,728 s = 5 days, 12 hours, 8 minutes, 48 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵υοεψκηʹ
- Chinese
- 四十七萬五千七百二十八
- Chinese (financial)
- 肆拾柒萬伍仟柒佰貳拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 475728, here are decompositions:
- 7 + 475721 = 475728
- 31 + 475697 = 475728
- 37 + 475691 = 475728
- 47 + 475681 = 475728
- 59 + 475669 = 475728
- 79 + 475649 = 475728
- 89 + 475639 = 475728
- 107 + 475621 = 475728
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.66.80.
- Address
- 0.7.66.80
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.66.80
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 475,728 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 475728 first appears in π at position 886,848 of the decimal expansion (the 886,848ordinal-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°.