496,320
496,320 is a composite number, even.
496,320 (four hundred ninety-six thousand three hundred twenty) is an even 6-digit number. It is a composite number with 112 divisors, and factors as 2⁶ × 3 × 5 × 11 × 47. Its proper divisors sum to 1,259,328, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x792C0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 24
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 23,694
- Square (n²)
- 246,333,542,400
- Cube (n³)
- 122,260,263,763,968,000
- Divisor count
- 112
- σ(n) — sum of divisors
- 1,755,648
- φ(n) — Euler's totient
- 117,760
- Sum of prime factors
- 78
Primality
Prime factorization: 2 6 × 3 × 5 × 11 × 47
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√496,320 = [704; (2, 1408)]
Period length 2 — the block in parentheses repeats forever.
Representations
- In words
- four hundred ninety-six thousand three hundred twenty
- Ordinal
- 496320th
- Binary
- 1111001001011000000
- Octal
- 1711300
- Hexadecimal
- 0x792C0
- Base64
- B5LA
- One's complement
- 4,294,470,975 (32-bit)
- Scientific notation
- 4.9632 × 10⁵
- As a duration
- 496,320 s = 5 days, 17 hours, 52 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆
- Greek (Milesian)
- ͵υϟϛτκʹ
- Chinese
- 四十九萬六千三百二十
- Chinese (financial)
- 肆拾玖萬陸仟參佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 496320, here are decompositions:
- 7 + 496313 = 496320
- 17 + 496303 = 496320
- 23 + 496297 = 496320
- 29 + 496291 = 496320
- 31 + 496289 = 496320
- 37 + 496283 = 496320
- 61 + 496259 = 496320
- 89 + 496231 = 496320
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.146.192.
- Address
- 0.7.146.192
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.146.192
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 496,320 and was likely granted around 1893.
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°.