488,640
488,640 is a composite number, even.
488,640 (four hundred eighty-eight thousand six hundred forty) is an even 6-digit number. It is a composite number with 56 divisors, and factors as 2⁶ × 3 × 5 × 509. Its proper divisors sum to 1,065,840, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x774C0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 30
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 46,884
- Square (n²)
- 238,769,049,600
- Cube (n³)
- 116,672,108,396,544,000
- Divisor count
- 56
- σ(n) — sum of divisors
- 1,554,480
- φ(n) — Euler's totient
- 130,048
- Sum of prime factors
- 529
Primality
Prime factorization: 2 6 × 3 × 5 × 509
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√488,640 = [699; (35, 1, 5, 1, 1, 7, 1, 2, 1, 3, 7, 1, 2, 11, 4, 1, 5, 21, 1, 2, 19, 2, 1, 5, …)]
Representations
- In words
- four hundred eighty-eight thousand six hundred forty
- Ordinal
- 488640th
- Binary
- 1110111010011000000
- Octal
- 1672300
- Hexadecimal
- 0x774C0
- Base64
- B3TA
- One's complement
- 4,294,478,655 (32-bit)
- Scientific notation
- 4.8864 × 10⁵
- As a duration
- 488,640 s = 5 days, 15 hours, 44 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵υπηχμʹ
- Chinese
- 四十八萬八千六百四十
- Chinese (financial)
- 肆拾捌萬捌仟陸佰肆拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 488640, here are decompositions:
- 7 + 488633 = 488640
- 13 + 488627 = 488640
- 23 + 488617 = 488640
- 29 + 488611 = 488640
- 37 + 488603 = 488640
- 67 + 488573 = 488640
- 73 + 488567 = 488640
- 101 + 488539 = 488640
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.116.192.
- Address
- 0.7.116.192
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.116.192
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 488,640 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 488640 first appears in π at position 79,074 of the decimal expansion (the 79,074ordinal-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°.