473,880
473,880 is a composite number, even.
473,880 (four hundred seventy-three thousand eight hundred eighty) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3 × 5 × 11 × 359. Its proper divisors sum to 1,081,320, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73B18.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 30
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 88,374
- Recamán's sequence
- a(138,312) = 473,880
- Square (n²)
- 224,562,254,400
- Cube (n³)
- 106,415,561,115,072,000
- Divisor count
- 64
- σ(n) — sum of divisors
- 1,555,200
- φ(n) — Euler's totient
- 114,560
- Sum of prime factors
- 384
Primality
Prime factorization: 2 3 × 3 × 5 × 11 × 359
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√473,880 = [688; (2, 1, 1, 3, 5, 2, 14, 28, 35, 3, 1, 3, 16, 8, 11, 1, 2, 1, 11, 8, 16, 3, 1, 3, …)]
Period length 34 — the block in parentheses repeats forever.
Representations
- In words
- four hundred seventy-three thousand eight hundred eighty
- Ordinal
- 473880th
- Binary
- 1110011101100011000
- Octal
- 1635430
- Hexadecimal
- 0x73B18
- Base64
- BzsY
- One's complement
- 4,294,493,415 (32-bit)
- Scientific notation
- 4.7388 × 10⁵
- As a duration
- 473,880 s = 5 days, 11 hours, 38 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵υογωπʹ
- Chinese
- 四十七萬三千八百八十
- Chinese (financial)
- 肆拾柒萬參仟捌佰捌拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 473880, here are decompositions:
- 13 + 473867 = 473880
- 19 + 473861 = 473880
- 23 + 473857 = 473880
- 41 + 473839 = 473880
- 47 + 473833 = 473880
- 137 + 473743 = 473880
- 139 + 473741 = 473880
- 151 + 473729 = 473880
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.59.24.
- Address
- 0.7.59.24
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.59.24
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 473,880 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 473880 first appears in π at position 594,849 of the decimal expansion (the 594,849ordinal-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°.