473,480
473,480 is a composite number, even.
473,480 (four hundred seventy-three thousand four hundred eighty) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 5 × 7 × 19 × 89. Its proper divisors sum to 822,520, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73988.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 26
- Digit product
- 0
- Digital root
- 8
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 84,374
- Recamán's sequence
- a(138,104) = 473,480
- Square (n²)
- 224,183,310,400
- Cube (n³)
- 106,146,313,808,192,000
- Divisor count
- 64
- σ(n) — sum of divisors
- 1,296,000
- φ(n) — Euler's totient
- 152,064
- Sum of prime factors
- 126
Primality
Prime factorization: 2 3 × 5 × 7 × 19 × 89
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√473,480 = [688; (10, 8, 2, 4, 3, 2, 3, 2, 3, 4, 2, 8, 10, 1376)]
Period length 14 — the block in parentheses repeats forever.
Representations
- In words
- four hundred seventy-three thousand four hundred eighty
- Ordinal
- 473480th
- Binary
- 1110011100110001000
- Octal
- 1634610
- Hexadecimal
- 0x73988
- Base64
- BzmI
- One's complement
- 4,294,493,815 (32-bit)
- Scientific notation
- 4.7348 × 10⁵
- As a duration
- 473,480 s = 5 days, 11 hours, 31 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹 𒌋𒌋𒌋𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵υογυπʹ
- Chinese
- 四十七萬三千四百八十
- Chinese (financial)
- 肆拾柒萬參仟肆佰捌拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 473480, here are decompositions:
- 3 + 473477 = 473480
- 37 + 473443 = 473480
- 61 + 473419 = 473480
- 97 + 473383 = 473480
- 103 + 473377 = 473480
- 127 + 473353 = 473480
- 193 + 473287 = 473480
- 223 + 473257 = 473480
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.57.136.
- Address
- 0.7.57.136
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.57.136
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 473,480 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 473480 first appears in π at position 881,469 of the decimal expansion (the 881,469ordinal-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°.