468,272
468,272 is a composite number, even.
468,272 (four hundred sixty-eight thousand two hundred seventy-two) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 7 × 37 × 113. Its proper divisors sum to 606,064, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x72530.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 29
- Digit product
- 5,376
- Digital root
- 2
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 272,864
- Square (n²)
- 219,278,665,984
- Cube (n³)
- 102,682,059,477,659,648
- Divisor count
- 40
- σ(n) — sum of divisors
- 1,074,336
- φ(n) — Euler's totient
- 193,536
- Sum of prime factors
- 165
Primality
Prime factorization: 2 4 × 7 × 37 × 113
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√468,272 = [684; (3, 3, 2, 5, 2, 3, 1, 1, 1, 1, 11, 1, 1, 1, 1, 3, 2, 5, 2, 3, 3, 1368)]
Period length 22 — the block in parentheses repeats forever.
Representations
- In words
- four hundred sixty-eight thousand two hundred seventy-two
- Ordinal
- 468272nd
- Binary
- 1110010010100110000
- Octal
- 1622460
- Hexadecimal
- 0x72530
- Base64
- ByUw
- One's complement
- 4,294,499,023 (32-bit)
- Scientific notation
- 4.68272 × 10⁵
- As a duration
- 468,272 s = 5 days, 10 hours, 4 minutes, 32 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
- Greek (Milesian)
- ͵υξησοβʹ
- Chinese
- 四十六萬八千二百七十二
- Chinese (financial)
- 肆拾陸萬捌仟貳佰柒拾貳
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 468272, here are decompositions:
- 19 + 468253 = 468272
- 31 + 468241 = 468272
- 73 + 468199 = 468272
- 139 + 468133 = 468272
- 151 + 468121 = 468272
- 163 + 468109 = 468272
- 193 + 468079 = 468272
- 223 + 468049 = 468272
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.37.48.
- Address
- 0.7.37.48
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.37.48
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 468,272 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 468272 first appears in π at position 616,581 of the decimal expansion (the 616,581ordinal-suffix:st 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°.