467,728
467,728 is a composite number, even.
467,728 (four hundred sixty-seven thousand seven hundred twenty-eight) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 23 × 31 × 41. Its proper divisors sum to 532,208, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x72310.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 34
- Digit product
- 18,816
- Digital root
- 7
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 827,764
- Square (n²)
- 218,769,481,984
- Cube (n³)
- 102,324,612,269,412,352
- Divisor count
- 40
- σ(n) — sum of divisors
- 999,936
- φ(n) — Euler's totient
- 211,200
- Sum of prime factors
- 103
Primality
Prime factorization: 2 4 × 23 × 31 × 41
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√467,728 = [683; (1, 9, 1, 2, 5, 5, 6, 2, 2, 2, 3, 1, 3, 3, 2, 1, 3, 16, 1, 1, 1, 1, 1, 1, …)]
Period length 56 — the block in parentheses repeats forever.
Representations
- In words
- four hundred sixty-seven thousand seven hundred twenty-eight
- Ordinal
- 467728th
- Binary
- 1110010001100010000
- Octal
- 1621420
- Hexadecimal
- 0x72310
- Base64
- ByMQ
- One's complement
- 4,294,499,567 (32-bit)
- Scientific notation
- 4.67728 × 10⁵
- As a duration
- 467,728 s = 5 days, 9 hours, 55 minutes, 28 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵υξζψκηʹ
- Chinese
- 四十六萬七千七百二十八
- Chinese (financial)
- 肆拾陸萬柒仟柒佰貳拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 467728, here are decompositions:
- 29 + 467699 = 467728
- 47 + 467681 = 467728
- 59 + 467669 = 467728
- 71 + 467657 = 467728
- 101 + 467627 = 467728
- 137 + 467591 = 467728
- 179 + 467549 = 467728
- 197 + 467531 = 467728
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.35.16.
- Address
- 0.7.35.16
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.35.16
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 467,728 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°.