472,872
472,872 is a composite number, even.
472,872 (four hundred seventy-two thousand eight hundred seventy-two) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3 × 17 × 19 × 61. Its proper divisors sum to 866,328, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73728.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 30
- Digit product
- 6,272
- Digital root
- 3
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 278,274
- Square (n²)
- 223,607,928,384
- Cube (n³)
- 105,737,928,310,798,848
- Divisor count
- 64
- σ(n) — sum of divisors
- 1,339,200
- φ(n) — Euler's totient
- 138,240
- Sum of prime factors
- 106
Primality
Prime factorization: 2 3 × 3 × 17 × 19 × 61
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√472,872 = [687; (1, 1, 1, 10, 1, 2, 3, 27, 1, 3, 3, 7, 1, 7, 3, 1, 6, 1, 3, 7, 1, 7, 3, 3, …)]
Period length 34 — the block in parentheses repeats forever.
Representations
- In words
- four hundred seventy-two thousand eight hundred seventy-two
- Ordinal
- 472872nd
- Binary
- 1110011011100101000
- Octal
- 1633450
- Hexadecimal
- 0x73728
- Base64
- Bzco
- One's complement
- 4,294,494,423 (32-bit)
- Scientific notation
- 4.72872 × 10⁵
- As a duration
- 472,872 s = 5 days, 11 hours, 21 minutes, 12 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹 𒌋𒌋𒁹 𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
- Greek (Milesian)
- ͵υοβωοβʹ
- Chinese
- 四十七萬二千八百七十二
- Chinese (financial)
- 肆拾柒萬貳仟捌佰柒拾貳
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 472872, here are decompositions:
- 13 + 472859 = 472872
- 41 + 472831 = 472872
- 73 + 472799 = 472872
- 79 + 472793 = 472872
- 109 + 472763 = 472872
- 131 + 472741 = 472872
- 151 + 472721 = 472872
- 163 + 472709 = 472872
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.55.40.
- Address
- 0.7.55.40
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.55.40
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 472,872 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 472872 first appears in π at position 439,360 of the decimal expansion (the 439,360ordinal-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°.