488,880
488,880 is a composite number, even.
488,880 (four hundred eighty-eight thousand eight hundred eighty) is an even 6-digit number. It is a composite number with 120 divisors, and factors as 2⁴ × 3² × 5 × 7 × 97. Its proper divisors sum to 1,406,832, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x775B0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 36
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 88,884
- Square (n²)
- 239,003,654,400
- Cube (n³)
- 116,844,106,563,072,000
- Divisor count
- 120
- σ(n) — sum of divisors
- 1,895,712
- φ(n) — Euler's totient
- 110,592
- Sum of prime factors
- 123
Primality
Prime factorization: 2 4 × 3 2 × 5 × 7 × 97
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√488,880 = [699; (5, 87, 5, 1398)]
Period length 4 — the block in parentheses repeats forever.
Representations
- In words
- four hundred eighty-eight thousand eight hundred eighty
- Ordinal
- 488880th
- Binary
- 1110111010110110000
- Octal
- 1672660
- Hexadecimal
- 0x775B0
- Base64
- B3Ww
- One's complement
- 4,294,478,415 (32-bit)
- Scientific notation
- 4.8888 × 10⁵
- As a duration
- 488,880 s = 5 days, 15 hours, 48 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵υπηωπʹ
- Chinese
- 四十八萬八千八百八十
- Chinese (financial)
- 肆拾捌萬捌仟捌佰捌拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 488880, here are decompositions:
- 19 + 488861 = 488880
- 47 + 488833 = 488880
- 53 + 488827 = 488880
- 59 + 488821 = 488880
- 83 + 488797 = 488880
- 89 + 488791 = 488880
- 101 + 488779 = 488880
- 131 + 488749 = 488880
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.117.176.
- Address
- 0.7.117.176
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.117.176
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 488,880 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 488880 first appears in π at position 4,750 of the decimal expansion (the 4,750ordinal-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°.