472,140
472,140 is a composite number, even.
472,140 (four hundred seventy-two thousand one hundred forty) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2² × 3² × 5 × 43 × 61. Its proper divisors sum to 1,017,348, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7344C.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 18
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 41,274
- Square (n²)
- 222,916,179,600
- Cube (n³)
- 105,247,645,036,344,000
- Divisor count
- 72
- σ(n) — sum of divisors
- 1,489,488
- φ(n) — Euler's totient
- 120,960
- Sum of prime factors
- 119
Primality
Prime factorization: 2 2 × 3 2 × 5 × 43 × 61
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√472,140 = [687; (8, 27, 1, 11, 1, 1, 1, 4, 10, 3, 1, 1, 1, 2, 11, 5, 1, 10, 1, 1, 11, 38, 11, 1, …)]
Period length 44 — the block in parentheses repeats forever.
Representations
- In words
- four hundred seventy-two thousand one hundred forty
- Ordinal
- 472140th
- Binary
- 1110011010001001100
- Octal
- 1632114
- Hexadecimal
- 0x7344C
- Base64
- BzRM
- One's complement
- 4,294,495,155 (32-bit)
- Scientific notation
- 4.7214 × 10⁵
- As a duration
- 472,140 s = 5 days, 11 hours, 9 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵υοβρμʹ
- Chinese
- 四十七萬二千一百四十
- Chinese (financial)
- 肆拾柒萬貳仟壹佰肆拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 472140, here are decompositions:
- 7 + 472133 = 472140
- 13 + 472127 = 472140
- 17 + 472123 = 472140
- 29 + 472111 = 472140
- 37 + 472103 = 472140
- 73 + 472067 = 472140
- 83 + 472057 = 472140
- 89 + 472051 = 472140
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.52.76.
- Address
- 0.7.52.76
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.52.76
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 472,140 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 472140 first appears in π at position 428,556 of the decimal expansion (the 428,556ordinal-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°.