472,080
472,080 is a composite number, even.
472,080 (four hundred seventy-two thousand eighty) is an even 6-digit number. It is a composite number with 80 divisors, and factors as 2⁴ × 3 × 5 × 7 × 281. Its proper divisors sum to 1,206,384, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73410.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 21
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 80,274
- Square (n²)
- 222,859,526,400
- Cube (n³)
- 105,207,525,222,912,000
- Divisor count
- 80
- σ(n) — sum of divisors
- 1,678,464
- φ(n) — Euler's totient
- 107,520
- Sum of prime factors
- 304
Primality
Prime factorization: 2 4 × 3 × 5 × 7 × 281
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√472,080 = [687; (12, 2, 1, 1, 1, 3, 5, 1, 1, 4, 1, 4, 1, 2, 3, 11, 17, 11, 3, 2, 1, 4, 1, 4, …)]
Period length 34 — the block in parentheses repeats forever.
Representations
- In words
- four hundred seventy-two thousand eighty
- Ordinal
- 472080th
- Binary
- 1110011010000010000
- Octal
- 1632020
- Hexadecimal
- 0x73410
- Base64
- BzQQ
- One's complement
- 4,294,495,215 (32-bit)
- Scientific notation
- 4.7208 × 10⁵
- As a duration
- 472,080 s = 5 days, 11 hours, 8 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵υοβπʹ
- Chinese
- 四十七萬二千零八十
- Chinese (financial)
- 肆拾柒萬貳仟零捌拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 472080, here are decompositions:
- 13 + 472067 = 472080
- 17 + 472063 = 472080
- 23 + 472057 = 472080
- 29 + 472051 = 472080
- 53 + 472027 = 472080
- 61 + 472019 = 472080
- 83 + 471997 = 472080
- 131 + 471949 = 472080
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.52.16.
- Address
- 0.7.52.16
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.52.16
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 472,080 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 472080 first appears in π at position 132,875 of the decimal expansion (the 132,875ordinal-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°.