472,560
472,560 is a composite number, even.
472,560 (four hundred seventy-two thousand five hundred sixty) is an even 6-digit number. It is a composite number with 80 divisors, and factors as 2⁴ × 3 × 5 × 11 × 179. Its proper divisors sum to 1,134,480, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x735F0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 24
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 65,274
- Square (n²)
- 223,312,953,600
- Cube (n³)
- 105,528,769,353,216,000
- Divisor count
- 80
- σ(n) — sum of divisors
- 1,607,040
- φ(n) — Euler's totient
- 113,920
- Sum of prime factors
- 206
Primality
Prime factorization: 2 4 × 3 × 5 × 11 × 179
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√472,560 = [687; (2, 3, 14, 27, 1, 84, 1, 27, 14, 3, 2, 1374)]
Period length 12 — the block in parentheses repeats forever.
Representations
- In words
- four hundred seventy-two thousand five hundred sixty
- Ordinal
- 472560th
- Binary
- 1110011010111110000
- Octal
- 1632760
- Hexadecimal
- 0x735F0
- Base64
- BzXw
- One's complement
- 4,294,494,735 (32-bit)
- Scientific notation
- 4.7256 × 10⁵
- As a duration
- 472,560 s = 5 days, 11 hours, 16 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵υοβφξʹ
- Chinese
- 四十七萬二千五百六十
- Chinese (financial)
- 肆拾柒萬貳仟伍佰陸拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 472560, here are decompositions:
- 17 + 472543 = 472560
- 19 + 472541 = 472560
- 37 + 472523 = 472560
- 83 + 472477 = 472560
- 103 + 472457 = 472560
- 139 + 472421 = 472560
- 149 + 472411 = 472560
- 167 + 472393 = 472560
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.53.240.
- Address
- 0.7.53.240
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.53.240
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 472,560 and was likely granted around 1891.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 472560 first appears in π at position 388,819 of the decimal expansion (the 388,819ordinal-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°.