488,400
488,400 is a composite number, even.
488,400 (four hundred eighty-eight thousand four hundred) is an even 6-digit number. It is a composite number with 120 divisors, and factors as 2⁴ × 3 × 5² × 11 × 37. Its proper divisors sum to 1,264,464, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x773D0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 24
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 4,884
- Square (n²)
- 238,534,560,000
- Cube (n³)
- 116,500,279,104,000,000
- Divisor count
- 120
- σ(n) — sum of divisors
- 1,752,864
- φ(n) — Euler's totient
- 115,200
- Sum of prime factors
- 69
Primality
Prime factorization: 2 4 × 3 × 5 2 × 11 × 37
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√488,400 = [698; (1, 5, 1, 20, 1, 54, 1, 20, 1, 5, 1, 1396)]
Period length 12 — the block in parentheses repeats forever.
Representations
- In words
- four hundred eighty-eight thousand four hundred
- Ordinal
- 488400th
- Binary
- 1110111001111010000
- Octal
- 1671720
- Hexadecimal
- 0x773D0
- Base64
- B3PQ
- One's complement
- 4,294,478,895 (32-bit)
- Scientific notation
- 4.884 × 10⁵
- As a duration
- 488,400 s = 5 days, 15 hours, 40 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 ·
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢
- Greek (Milesian)
- ͵υπηυʹ
- Chinese
- 四十八萬八千四百
- Chinese (financial)
- 肆拾捌萬捌仟肆佰
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 488400, here are decompositions:
- 19 + 488381 = 488400
- 47 + 488353 = 488400
- 53 + 488347 = 488400
- 61 + 488339 = 488400
- 67 + 488333 = 488400
- 71 + 488329 = 488400
- 79 + 488321 = 488400
- 83 + 488317 = 488400
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.115.208.
- Address
- 0.7.115.208
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.115.208
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 488,400 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°.