480,080
480,080 is a composite number, even.
480,080 (four hundred eighty thousand eighty) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 5 × 17 × 353. Its proper divisors sum to 705,112, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x75350.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 20
- Digit product
- 0
- Digital root
- 2
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 80,084
- Square (n²)
- 230,476,806,400
- Cube (n³)
- 110,647,305,216,512,000
- Divisor count
- 40
- σ(n) — sum of divisors
- 1,185,192
- φ(n) — Euler's totient
- 180,224
- Sum of prime factors
- 383
Primality
Prime factorization: 2 4 × 5 × 17 × 353
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√480,080 = [692; (1, 7, 4, 1, 85, 1, 4, 7, 1, 1384)]
Period length 10 — the block in parentheses repeats forever.
Representations
- In words
- four hundred eighty thousand eighty
- Ordinal
- 480080th
- Binary
- 1110101001101010000
- Octal
- 1651520
- Hexadecimal
- 0x75350
- Base64
- B1NQ
- One's complement
- 4,294,487,215 (32-bit)
- Scientific notation
- 4.8008 × 10⁵
- As a duration
- 480,080 s = 5 days, 13 hours, 21 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵υππʹ
- Chinese
- 四十八萬零八十
- Chinese (financial)
- 肆拾捌萬零捌拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 480080, here are decompositions:
- 19 + 480061 = 480080
- 31 + 480049 = 480080
- 37 + 480043 = 480080
- 61 + 480019 = 480080
- 67 + 480013 = 480080
- 109 + 479971 = 480080
- 127 + 479953 = 480080
- 199 + 479881 = 480080
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.83.80.
- Address
- 0.7.83.80
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.83.80
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 480,080 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 480080 first appears in π at position 606,804 of the decimal expansion (the 606,804ordinal-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°.