480,424
480,424 is a composite number, even.
480,424 (four hundred eighty thousand four hundred twenty-four) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 7 × 23 × 373. Its proper divisors sum to 596,696, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x754A8.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 22
- Digit product
- 0
- Digital root
- 4
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 424,084
- Square (n²)
- 230,807,219,776
- Cube (n³)
- 110,885,327,753,665,024
- Divisor count
- 32
- σ(n) — sum of divisors
- 1,077,120
- φ(n) — Euler's totient
- 196,416
- Sum of prime factors
- 409
Primality
Prime factorization: 2 3 × 7 × 23 × 373
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√480,424 = [693; (7, 1, 11, 1, 1, 1, 1, 2, 3, 4, 4, 153, 1, 3, 1, 4, 12, 3, 1, 1, 3, 3, 1, 1, …)]
Representations
- In words
- four hundred eighty thousand four hundred twenty-four
- Ordinal
- 480424th
- Binary
- 1110101010010101000
- Octal
- 1652250
- Hexadecimal
- 0x754A8
- Base64
- B1So
- One's complement
- 4,294,486,871 (32-bit)
- Scientific notation
- 4.80424 × 10⁵
- As a duration
- 480,424 s = 5 days, 13 hours, 27 minutes, 4 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵υπυκδʹ
- Chinese
- 四十八萬零四百二十四
- Chinese (financial)
- 肆拾捌萬零肆佰貳拾肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 480424, here are decompositions:
- 5 + 480419 = 480424
- 41 + 480383 = 480424
- 83 + 480341 = 480424
- 107 + 480317 = 480424
- 137 + 480287 = 480424
- 257 + 480167 = 480424
- 281 + 480143 = 480424
- 311 + 480113 = 480424
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.84.168.
- Address
- 0.7.84.168
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.84.168
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 480,424 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 480424 first appears in π at position 40,827 of the decimal expansion (the 40,827ordinal-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°.