474,480
474,480 is a composite number, even.
474,480 (four hundred seventy-four thousand four hundred eighty) is an even 6-digit number. It is a composite number with 60 divisors, and factors as 2⁴ × 3² × 5 × 659. Its proper divisors sum to 1,121,400, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73D70.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 27
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 84,474
- Square (n²)
- 225,131,270,400
- Cube (n³)
- 106,820,285,179,392,000
- Divisor count
- 60
- σ(n) — sum of divisors
- 1,595,880
- φ(n) — Euler's totient
- 126,336
- Sum of prime factors
- 678
Primality
Prime factorization: 2 4 × 3 2 × 5 × 659
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√474,480 = [688; (1, 4, 1, 2, 1, 1, 6, 1, 1, 1, 3, 5, 2, 1, 2, 5, 3, 1, 1, 1, 6, 1, 1, 2, …)]
Period length 28 — the block in parentheses repeats forever.
Representations
- In words
- four hundred seventy-four thousand four hundred eighty
- Ordinal
- 474480th
- Binary
- 1110011110101110000
- Octal
- 1636560
- Hexadecimal
- 0x73D70
- Base64
- Bz1w
- One's complement
- 4,294,492,815 (32-bit)
- Scientific notation
- 4.7448 × 10⁵
- As a duration
- 474,480 s = 5 days, 11 hours, 48 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵υοδυπʹ
- Chinese
- 四十七萬四千四百八十
- Chinese (financial)
- 肆拾柒萬肆仟肆佰捌拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 474480, here are decompositions:
- 37 + 474443 = 474480
- 43 + 474437 = 474480
- 47 + 474433 = 474480
- 67 + 474413 = 474480
- 89 + 474391 = 474480
- 101 + 474379 = 474480
- 137 + 474343 = 474480
- 173 + 474307 = 474480
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.61.112.
- Address
- 0.7.61.112
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.61.112
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 474,480 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 474480 first appears in π at position 292,483 of the decimal expansion (the 292,483ordinal-suffix:rd 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°.