488,320
488,320 is a composite number, even.
488,320 (four hundred eighty-eight thousand three hundred twenty) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2⁷ × 5 × 7 × 109. Its proper divisors sum to 858,080, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x77380.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 25
- Digit product
- 0
- Digital root
- 7
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 23,884
- Square (n²)
- 238,456,422,400
- Cube (n³)
- 116,443,040,186,368,000
- Divisor count
- 64
- σ(n) — sum of divisors
- 1,346,400
- φ(n) — Euler's totient
- 165,888
- Sum of prime factors
- 135
Primality
Prime factorization: 2 7 × 5 × 7 × 109
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√488,320 = [698; (1, 3, 1, 38, 45, 17, 4, 3, 4, 5, 2, 1, 1, 1, 2, 9, 3, 12, 1, 86, 2, 2, 1, 4, …)]
Representations
- In words
- four hundred eighty-eight thousand three hundred twenty
- Ordinal
- 488320th
- Binary
- 1110111001110000000
- Octal
- 1671600
- Hexadecimal
- 0x77380
- Base64
- B3OA
- One's complement
- 4,294,478,975 (32-bit)
- Scientific notation
- 4.8832 × 10⁵
- As a duration
- 488,320 s = 5 days, 15 hours, 38 minutes, 40 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆
- Greek (Milesian)
- ͵υπητκʹ
- Chinese
- 四十八萬八千三百二十
- Chinese (financial)
- 肆拾捌萬捌仟參佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 488320, here are decompositions:
- 3 + 488317 = 488320
- 11 + 488309 = 488320
- 17 + 488303 = 488320
- 59 + 488261 = 488320
- 71 + 488249 = 488320
- 89 + 488231 = 488320
- 113 + 488207 = 488320
- 149 + 488171 = 488320
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.115.128.
- Address
- 0.7.115.128
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.115.128
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 488,320 and was likely granted around 1892.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 488320 first appears in π at position 614,787 of the decimal expansion (the 614,787ordinal-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°.