472,160
472,160 is a composite number, even.
472,160 (four hundred seventy-two thousand one hundred sixty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 5 × 13 × 227. Its proper divisors sum to 734,416, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73460.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 20
- Digit product
- 0
- Digital root
- 2
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 61,274
- Square (n²)
- 222,935,065,600
- Cube (n³)
- 105,261,020,573,696,000
- Divisor count
- 48
- σ(n) — sum of divisors
- 1,206,576
- φ(n) — Euler's totient
- 173,568
- Sum of prime factors
- 255
Primality
Prime factorization: 2 5 × 5 × 13 × 227
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√472,160 = [687; (7, 5, 7, 1374)]
Period length 4 — the block in parentheses repeats forever.
Representations
- In words
- four hundred seventy-two thousand one hundred sixty
- Ordinal
- 472160th
- Binary
- 1110011010001100000
- Octal
- 1632140
- Hexadecimal
- 0x73460
- Base64
- BzRg
- One's complement
- 4,294,495,135 (32-bit)
- Scientific notation
- 4.7216 × 10⁵
- As a duration
- 472,160 s = 5 days, 11 hours, 9 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵υοβρξʹ
- Chinese
- 四十七萬二千一百六十
- Chinese (financial)
- 肆拾柒萬貳仟壹佰陸拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 472160, here are decompositions:
- 37 + 472123 = 472160
- 97 + 472063 = 472160
- 103 + 472057 = 472160
- 109 + 472051 = 472160
- 163 + 471997 = 472160
- 211 + 471949 = 472160
- 229 + 471931 = 472160
- 307 + 471853 = 472160
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.52.96.
- Address
- 0.7.52.96
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.52.96
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 472,160 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 472160 first appears in π at position 53,727 of the decimal expansion (the 53,727ordinal-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°.