488,832
488,832 is a composite number, even.
488,832 (four hundred eighty-eight thousand eight hundred thirty-two) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2⁷ × 3 × 19 × 67. Its proper divisors sum to 898,368, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x77580.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 33
- Digit product
- 12,288
- Digital root
- 6
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 238,884
- Square (n²)
- 238,956,724,224
- Cube (n³)
- 116,809,693,415,866,368
- Divisor count
- 64
- σ(n) — sum of divisors
- 1,387,200
- φ(n) — Euler's totient
- 152,064
- Sum of prime factors
- 103
Primality
Prime factorization: 2 7 × 3 × 19 × 67
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√488,832 = [699; (6, 18, 1, 86, 2, 4, 3, 2, 3, 349, 3, 2, 3, 4, 2, 86, 1, 18, 6, 1398)]
Period length 20 — the block in parentheses repeats forever.
Representations
- In words
- four hundred eighty-eight thousand eight hundred thirty-two
- Ordinal
- 488832nd
- Binary
- 1110111010110000000
- Octal
- 1672600
- Hexadecimal
- 0x77580
- Base64
- B3WA
- One's complement
- 4,294,478,463 (32-bit)
- Scientific notation
- 4.88832 × 10⁵
- As a duration
- 488,832 s = 5 days, 15 hours, 47 minutes, 12 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺
- Greek (Milesian)
- ͵υπηωλβʹ
- Chinese
- 四十八萬八千八百三十二
- Chinese (financial)
- 肆拾捌萬捌仟捌佰參拾貳
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 488832, here are decompositions:
- 5 + 488827 = 488832
- 11 + 488821 = 488832
- 41 + 488791 = 488832
- 53 + 488779 = 488832
- 73 + 488759 = 488832
- 83 + 488749 = 488832
- 89 + 488743 = 488832
- 103 + 488729 = 488832
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.117.128.
- Address
- 0.7.117.128
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.117.128
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 488,832 and was likely granted around 1892.
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°.