475,520
475,520 is a composite number, even.
475,520 (four hundred seventy-five thousand five hundred twenty) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2⁷ × 5 × 743. Its proper divisors sum to 662,800, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x74180.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 23
- Digit product
- 0
- Digital root
- 5
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 25,574
- Square (n²)
- 226,119,270,400
- Cube (n³)
- 107,524,235,460,608,000
- Divisor count
- 32
- σ(n) — sum of divisors
- 1,138,320
- φ(n) — Euler's totient
- 189,952
- Sum of prime factors
- 762
Primality
Prime factorization: 2 7 × 5 × 743
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√475,520 = [689; (1, 1, 2, 1, 1, 1, 3, 1, 2, 1, 2, 1, 8, 2, 2, 33, 4, 3, 1, 1, 2, 1, 24, 2, …)]
Representations
- In words
- four hundred seventy-five thousand five hundred twenty
- Ordinal
- 475520th
- Binary
- 1110100000110000000
- Octal
- 1640600
- Hexadecimal
- 0x74180
- Base64
- B0GA
- One's complement
- 4,294,491,775 (32-bit)
- Scientific notation
- 4.7552 × 10⁵
- As a duration
- 475,520 s = 5 days, 12 hours, 5 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆
- Greek (Milesian)
- ͵υοεφκʹ
- Chinese
- 四十七萬五千五百二十
- Chinese (financial)
- 肆拾柒萬伍仟伍佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 475520, here are decompositions:
- 37 + 475483 = 475520
- 79 + 475441 = 475520
- 103 + 475417 = 475520
- 139 + 475381 = 475520
- 151 + 475369 = 475520
- 193 + 475327 = 475520
- 223 + 475297 = 475520
- 277 + 475243 = 475520
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.65.128.
- Address
- 0.7.65.128
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.65.128
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 475,520 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 475520 first appears in π at position 842,968 of the decimal expansion (the 842,968ordinal-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°.