473,088
473,088 is a composite number, even.
473,088 (four hundred seventy-three thousand eighty-eight) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2¹¹ × 3 × 7 × 11. Its proper divisors sum to 1,099,392, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73800.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 30
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 880,374
- Square (n²)
- 223,812,255,744
- Cube (n³)
- 105,882,892,445,417,472
- Divisor count
- 96
- σ(n) — sum of divisors
- 1,572,480
- φ(n) — Euler's totient
- 122,880
- Sum of prime factors
- 43
Primality
Prime factorization: 2 11 × 3 × 7 × 11
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√473,088 = [687; (1, 4, 2, 1, 2, 21, 8, 5, 4, 85, 1, 2, 1, 4, 1, 1, 1, 1, 1, 20, 1, 6, 1, 4, …)]
Period length 52 — the block in parentheses repeats forever.
Representations
- In words
- four hundred seventy-three thousand eighty-eight
- Ordinal
- 473088th
- Binary
- 1110011100000000000
- Octal
- 1634000
- Hexadecimal
- 0x73800
- Base64
- BzgA
- One's complement
- 4,294,494,207 (32-bit)
- Scientific notation
- 4.73088 × 10⁵
- As a duration
- 473,088 s = 5 days, 11 hours, 24 minutes, 48 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵υογπηʹ
- Chinese
- 四十七萬三千零八十八
- Chinese (financial)
- 肆拾柒萬參仟零捌拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 473088, here are decompositions:
- 61 + 473027 = 473088
- 67 + 473021 = 473088
- 79 + 473009 = 473088
- 149 + 472939 = 473088
- 151 + 472937 = 473088
- 167 + 472921 = 473088
- 179 + 472909 = 473088
- 181 + 472907 = 473088
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.56.0.
- Address
- 0.7.56.0
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.56.0
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 473,088 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 473088 first appears in π at position 332,277 of the decimal expansion (the 332,277ordinal-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°.