472,632
472,632 is a composite number, even.
472,632 (four hundred seventy-two thousand six hundred thirty-two) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 47 × 419. Its proper divisors sum to 736,968, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73638.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 24
- Digit product
- 2,016
- Digital root
- 6
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 236,274
- Square (n²)
- 223,381,007,424
- Cube (n³)
- 105,577,012,300,819,968
- Divisor count
- 32
- σ(n) — sum of divisors
- 1,209,600
- φ(n) — Euler's totient
- 153,824
- Sum of prime factors
- 475
Primality
Prime factorization: 2 3 × 3 × 47 × 419
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√472,632 = [687; (2, 13, 1, 2, 12, 1, 7, 3, 4, 9, 1, 7, 4, 3, 1, 1, 3, 3, 1, 3, 1, 113, 1, 3, …)]
Period length 44 — the block in parentheses repeats forever.
Representations
- In words
- four hundred seventy-two thousand six hundred thirty-two
- Ordinal
- 472632nd
- Binary
- 1110011011000111000
- Octal
- 1633070
- Hexadecimal
- 0x73638
- Base64
- BzY4
- One's complement
- 4,294,494,663 (32-bit)
- Scientific notation
- 4.72632 × 10⁵
- As a duration
- 472,632 s = 5 days, 11 hours, 17 minutes, 12 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺
- Greek (Milesian)
- ͵υοβχλβʹ
- Chinese
- 四十七萬二千六百三十二
- Chinese (financial)
- 肆拾柒萬貳仟陸佰參拾貳
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 472632, here are decompositions:
- 59 + 472573 = 472632
- 71 + 472561 = 472632
- 73 + 472559 = 472632
- 89 + 472543 = 472632
- 109 + 472523 = 472632
- 163 + 472469 = 472632
- 211 + 472421 = 472632
- 233 + 472399 = 472632
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.54.56.
- Address
- 0.7.54.56
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.54.56
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 472,632 and was likely granted around 1891.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
Related reading
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.