496,080
496,080 is a composite number, even.
496,080 (four hundred ninety-six thousand eighty) is an even 6-digit number. It is a composite number with 120 divisors, and factors as 2⁴ × 3² × 5 × 13 × 53. Its proper divisors sum to 1,331,928, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x791D0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 27
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 80,694
- Square (n²)
- 246,095,366,400
- Cube (n³)
- 122,082,989,363,712,000
- Divisor count
- 120
- σ(n) — sum of divisors
- 1,828,008
- φ(n) — Euler's totient
- 119,808
- Sum of prime factors
- 85
Primality
Prime factorization: 2 4 × 3 2 × 5 × 13 × 53
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√496,080 = [704; (3, 28, 2, 2, 2, 3, 2, 16, 1, 21, 14, 1, 3, 1, 1, 2, 9, 2, 1, 1, 3, 1, 14, 21, …)]
Period length 34 — the block in parentheses repeats forever.
Representations
- In words
- four hundred ninety-six thousand eighty
- Ordinal
- 496080th
- Binary
- 1111001000111010000
- Octal
- 1710720
- Hexadecimal
- 0x791D0
- Base64
- B5HQ
- One's complement
- 4,294,471,215 (32-bit)
- Scientific notation
- 4.9608 × 10⁵
- As a duration
- 496,080 s = 5 days, 17 hours, 48 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵υϟϛπʹ
- Chinese
- 四十九萬六千零八十
- Chinese (financial)
- 肆拾玖萬陸仟零捌拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 496080, here are decompositions:
- 7 + 496073 = 496080
- 17 + 496063 = 496080
- 29 + 496051 = 496080
- 41 + 496039 = 496080
- 61 + 496019 = 496080
- 73 + 496007 = 496080
- 97 + 495983 = 496080
- 107 + 495973 = 496080
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.145.208.
- Address
- 0.7.145.208
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.145.208
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 496,080 and was likely granted around 1893.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 496080 first appears in π at position 216,430 of the decimal expansion (the 216,430ordinal-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°.