488,480
488,480 is a composite number, even.
488,480 (four hundred eighty-eight thousand four hundred eighty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 5 × 43 × 71. Its proper divisors sum to 709,024, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x77420.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 32
- Digit product
- 0
- Digital root
- 5
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 84,884
- Recamán's sequence
- a(146,844) = 488,480
- Square (n²)
- 238,612,710,400
- Cube (n³)
- 116,557,536,776,192,000
- Divisor count
- 48
- σ(n) — sum of divisors
- 1,197,504
- φ(n) — Euler's totient
- 188,160
- Sum of prime factors
- 129
Primality
Prime factorization: 2 5 × 5 × 43 × 71
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√488,480 = [698; (1, 10, 1, 1, 4, 4, 1, 1, 1, 1, 1, 1, 24, 1, 3, 1, 24, 1, 1, 1, 1, 1, 1, 4, …)]
Period length 30 — the block in parentheses repeats forever.
Representations
- In words
- four hundred eighty-eight thousand four hundred eighty
- Ordinal
- 488480th
- Binary
- 1110111010000100000
- Octal
- 1672040
- Hexadecimal
- 0x77420
- Base64
- B3Qg
- One's complement
- 4,294,478,815 (32-bit)
- Scientific notation
- 4.8848 × 10⁵
- As a duration
- 488,480 s = 5 days, 15 hours, 41 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵υπηυπʹ
- Chinese
- 四十八萬八千四百八十
- Chinese (financial)
- 肆拾捌萬捌仟肆佰捌拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 488480, here are decompositions:
- 7 + 488473 = 488480
- 61 + 488419 = 488480
- 73 + 488407 = 488480
- 79 + 488401 = 488480
- 127 + 488353 = 488480
- 151 + 488329 = 488480
- 163 + 488317 = 488480
- 193 + 488287 = 488480
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.116.32.
- Address
- 0.7.116.32
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.116.32
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 488,480 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 488480 first appears in π at position 941,695 of the decimal expansion (the 941,695ordinal-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°.