473,280
473,280 is a composite number, even.
473,280 (four hundred seventy-three thousand two hundred eighty) is an even 6-digit number. It is a composite number with 112 divisors, and factors as 2⁶ × 3 × 5 × 17 × 29. Its proper divisors sum to 1,172,640, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x738C0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 24
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 82,374
- Square (n²)
- 223,993,958,400
- Cube (n³)
- 106,011,860,631,552,000
- Divisor count
- 112
- σ(n) — sum of divisors
- 1,645,920
- φ(n) — Euler's totient
- 114,688
- Sum of prime factors
- 66
Primality
Prime factorization: 2 6 × 3 × 5 × 17 × 29
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√473,280 = [687; (1, 20, 2, 343, 2, 20, 1, 1374)]
Period length 8 — the block in parentheses repeats forever.
Representations
- In words
- four hundred seventy-three thousand two hundred eighty
- Ordinal
- 473280th
- Binary
- 1110011100011000000
- Octal
- 1634300
- Hexadecimal
- 0x738C0
- Base64
- BzjA
- One's complement
- 4,294,494,015 (32-bit)
- Scientific notation
- 4.7328 × 10⁵
- As a duration
- 473,280 s = 5 days, 11 hours, 28 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵υογσπʹ
- Chinese
- 四十七萬三千二百八十
- Chinese (financial)
- 肆拾柒萬參仟貳佰捌拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 473280, here are decompositions:
- 23 + 473257 = 473280
- 53 + 473227 = 473280
- 61 + 473219 = 473280
- 79 + 473201 = 473280
- 83 + 473197 = 473280
- 89 + 473191 = 473280
- 107 + 473173 = 473280
- 113 + 473167 = 473280
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.56.192.
- Address
- 0.7.56.192
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.56.192
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 473,280 and was likely granted around 1891.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 473280 first appears in π at position 527,352 of the decimal expansion (the 527,352ordinal-suffix:nd 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°.