472,440
472,440 is a composite number, even.
472,440 (four hundred seventy-two thousand four hundred forty) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3 × 5 × 31 × 127. Its proper divisors sum to 1,002,120, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73578.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 21
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 44,274
- Square (n²)
- 223,199,553,600
- Cube (n³)
- 105,448,397,102,784,000
- Divisor count
- 64
- σ(n) — sum of divisors
- 1,474,560
- φ(n) — Euler's totient
- 120,960
- Sum of prime factors
- 172
Primality
Prime factorization: 2 3 × 3 × 5 × 31 × 127
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√472,440 = [687; (2, 1, 11, 5, 2, 3, 2, 1, 5, 17, 1, 10, 2, 2, 2, 10, 1, 17, 5, 1, 2, 3, 2, 5, …)]
Period length 28 — the block in parentheses repeats forever.
Representations
- In words
- four hundred seventy-two thousand four hundred forty
- Ordinal
- 472440th
- Binary
- 1110011010101111000
- Octal
- 1632570
- Hexadecimal
- 0x73578
- Base64
- BzV4
- One's complement
- 4,294,494,855 (32-bit)
- Scientific notation
- 4.7244 × 10⁵
- As a duration
- 472,440 s = 5 days, 11 hours, 14 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹 𒌋𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵υοβυμʹ
- Chinese
- 四十七萬二千四百四十
- Chinese (financial)
- 肆拾柒萬貳仟肆佰肆拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 472440, here are decompositions:
- 19 + 472421 = 472440
- 29 + 472411 = 472440
- 41 + 472399 = 472440
- 47 + 472393 = 472440
- 71 + 472369 = 472440
- 107 + 472333 = 472440
- 109 + 472331 = 472440
- 131 + 472309 = 472440
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.53.120.
- Address
- 0.7.53.120
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.53.120
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 472,440 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 472440 first appears in π at position 95,114 of the decimal expansion (the 95,114ordinal-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°.