488,520
488,520 is a composite number, even.
488,520 (four hundred eighty-eight thousand five hundred twenty) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2³ × 3² × 5 × 23 × 59. Its proper divisors sum to 1,196,280, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x77448.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 27
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 25,884
- Square (n²)
- 238,651,790,400
- Cube (n³)
- 116,586,172,646,208,000
- Divisor count
- 96
- σ(n) — sum of divisors
- 1,684,800
- φ(n) — Euler's totient
- 122,496
- Sum of prime factors
- 99
Primality
Prime factorization: 2 3 × 3 2 × 5 × 23 × 59
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√488,520 = [698; (1, 16, 3, 1, 6, 1, 1, 3, 2, 1, 24, 3, 1, 2, 1, 27, 1, 3, 1, 6, 1, 3, 1, 27, …)]
Period length 40 — the block in parentheses repeats forever.
Representations
- In words
- four hundred eighty-eight thousand five hundred twenty
- Ordinal
- 488520th
- Binary
- 1110111010001001000
- Octal
- 1672110
- Hexadecimal
- 0x77448
- Base64
- B3RI
- One's complement
- 4,294,478,775 (32-bit)
- Scientific notation
- 4.8852 × 10⁵
- As a duration
- 488,520 s = 5 days, 15 hours, 42 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆
- Greek (Milesian)
- ͵υπηφκʹ
- Chinese
- 四十八萬八千五百二十
- Chinese (financial)
- 肆拾捌萬捌仟伍佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 488520, here are decompositions:
- 7 + 488513 = 488520
- 17 + 488503 = 488520
- 47 + 488473 = 488520
- 61 + 488459 = 488520
- 79 + 488441 = 488520
- 101 + 488419 = 488520
- 103 + 488417 = 488520
- 113 + 488407 = 488520
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.116.72.
- Address
- 0.7.116.72
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.116.72
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 488,520 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°.