472,264
472,264 is a composite number, even.
472,264 (four hundred seventy-two thousand two hundred sixty-four) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 13 × 19 × 239. Its proper divisors sum to 535,736, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x734C8.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 25
- Digit product
- 2,688
- Digital root
- 7
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 462,274
- Square (n²)
- 223,033,285,696
- Cube (n³)
- 105,330,591,635,935,744
- Divisor count
- 32
- σ(n) — sum of divisors
- 1,008,000
- φ(n) — Euler's totient
- 205,632
- Sum of prime factors
- 277
Primality
Prime factorization: 2 3 × 13 × 19 × 239
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√472,264 = [687; (4, 1, 1, 1, 12, 1, 2, 2, 1, 8, 3, 1, 1, 5, 1, 2, 9, 3, 1, 5, 2, 1, 5, 3, …)]
Representations
- In words
- four hundred seventy-two thousand two hundred sixty-four
- Ordinal
- 472264th
- Binary
- 1110011010011001000
- Octal
- 1632310
- Hexadecimal
- 0x734C8
- Base64
- BzTI
- One's complement
- 4,294,495,031 (32-bit)
- Scientific notation
- 4.72264 × 10⁵
- As a duration
- 472,264 s = 5 days, 11 hours, 11 minutes, 4 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹 𒌋𒁹 𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵υοβσξδʹ
- Chinese
- 四十七萬二千二百六十四
- Chinese (financial)
- 肆拾柒萬貳仟貳佰陸拾肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 472264, here are decompositions:
- 3 + 472261 = 472264
- 11 + 472253 = 472264
- 17 + 472247 = 472264
- 71 + 472193 = 472264
- 101 + 472163 = 472264
- 113 + 472151 = 472264
- 131 + 472133 = 472264
- 137 + 472127 = 472264
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.52.200.
- Address
- 0.7.52.200
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.52.200
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 472,264 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 472264 first appears in π at position 77,607 of the decimal expansion (the 77,607ordinal-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°.