488,488
488,488 is a composite number, even.
488,488 (four hundred eighty-eight thousand four hundred eighty-eight) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 7 × 11 × 13 × 61. Its proper divisors sum to 761,432, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x77428.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 40
- Digit product
- 65,536
- Digital root
- 4
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 884,884
- Recamán's sequence
- a(146,828) = 488,488
- Square (n²)
- 238,620,526,144
- Cube (n³)
- 116,563,263,575,030,272
- Divisor count
- 64
- σ(n) — sum of divisors
- 1,249,920
- φ(n) — Euler's totient
- 172,800
- Sum of prime factors
- 98
Primality
Prime factorization: 2 3 × 7 × 11 × 13 × 61
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√488,488 = [698; (1, 11, 2, 1, 2, 3, 2, 154, 1, 7, 3, 16, 1, 14, 1, 16, 3, 7, 1, 154, 2, 3, 2, 1, …)]
Period length 28 — the block in parentheses repeats forever.
Representations
- In words
- four hundred eighty-eight thousand four hundred eighty-eight
- Ordinal
- 488488th
- Binary
- 1110111010000101000
- Octal
- 1672050
- Hexadecimal
- 0x77428
- Base64
- B3Qo
- One's complement
- 4,294,478,807 (32-bit)
- Scientific notation
- 4.88488 × 10⁵
- As a duration
- 488,488 s = 5 days, 15 hours, 41 minutes, 28 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵υπηυπηʹ
- Chinese
- 四十八萬八千四百八十八
- Chinese (financial)
- 肆拾捌萬捌仟肆佰捌拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 488488, here are decompositions:
- 29 + 488459 = 488488
- 47 + 488441 = 488488
- 71 + 488417 = 488488
- 89 + 488399 = 488488
- 107 + 488381 = 488488
- 149 + 488339 = 488488
- 167 + 488321 = 488488
- 179 + 488309 = 488488
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.116.40.
- Address
- 0.7.116.40
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.116.40
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 488,488 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 488488 first appears in π at position 641,058 of the decimal expansion (the 641,058ordinal-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°.