488,040
488,040 is a composite number, even.
488,040 (four hundred eighty-eight thousand forty) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2³ × 3 × 5 × 7² × 83. Its proper divisors sum to 1,235,640, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x77268.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 24
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 40,884
- Square (n²)
- 238,183,041,600
- Cube (n³)
- 116,242,851,622,464,000
- Divisor count
- 96
- σ(n) — sum of divisors
- 1,723,680
- φ(n) — Euler's totient
- 110,208
- Sum of prime factors
- 111
Primality
Prime factorization: 2 3 × 3 × 5 × 7 2 × 83
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√488,040 = [698; (1, 1, 2, 28, 8, 1, 3, 28, 3, 1, 8, 28, 2, 1, 1, 1396)]
Period length 16 — the block in parentheses repeats forever.
Representations
- In words
- four hundred eighty-eight thousand forty
- Ordinal
- 488040th
- Binary
- 1110111001001101000
- Octal
- 1671150
- Hexadecimal
- 0x77268
- Base64
- B3Jo
- One's complement
- 4,294,479,255 (32-bit)
- Scientific notation
- 4.8804 × 10⁵
- As a duration
- 488,040 s = 5 days, 15 hours, 34 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵υπημʹ
- Chinese
- 四十八萬八千零四十
- Chinese (financial)
- 肆拾捌萬捌仟零肆拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 488040, here are decompositions:
- 19 + 488021 = 488040
- 29 + 488011 = 488040
- 31 + 488009 = 488040
- 37 + 488003 = 488040
- 43 + 487997 = 488040
- 61 + 487979 = 488040
- 67 + 487973 = 488040
- 97 + 487943 = 488040
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.114.104.
- Address
- 0.7.114.104
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.114.104
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 488,040 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°.