472,648
472,648 is a composite number, even.
472,648 (four hundred seventy-two thousand six hundred forty-eight) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 11 × 41 × 131. Its proper divisors sum to 525,272, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73648.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 31
- Digit product
- 10,752
- Digital root
- 4
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 846,274
- Square (n²)
- 223,396,131,904
- Cube (n³)
- 105,587,734,952,161,792
- Divisor count
- 32
- σ(n) — sum of divisors
- 997,920
- φ(n) — Euler's totient
- 208,000
- Sum of prime factors
- 189
Primality
Prime factorization: 2 3 × 11 × 41 × 131
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√472,648 = [687; (2, 41, 6, 152, 1, 1, 1, 1, 3, 4, 2, 1, 5, 2, 1, 16, 3, 2, 4, 3, 1, 1, 2, 1, …)]
Representations
- In words
- four hundred seventy-two thousand six hundred forty-eight
- Ordinal
- 472648th
- Binary
- 1110011011001001000
- Octal
- 1633110
- Hexadecimal
- 0x73648
- Base64
- BzZI
- One's complement
- 4,294,494,647 (32-bit)
- Scientific notation
- 4.72648 × 10⁵
- As a duration
- 472,648 s = 5 days, 11 hours, 17 minutes, 28 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵υοβχμηʹ
- Chinese
- 四十七萬二千六百四十八
- Chinese (financial)
- 肆拾柒萬貳仟陸佰肆拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 472648, here are decompositions:
- 5 + 472643 = 472648
- 17 + 472631 = 472648
- 89 + 472559 = 472648
- 107 + 472541 = 472648
- 179 + 472469 = 472648
- 191 + 472457 = 472648
- 227 + 472421 = 472648
- 257 + 472391 = 472648
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.54.72.
- Address
- 0.7.54.72
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.54.72
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 472,648 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 472648 first appears in π at position 303,215 of the decimal expansion (the 303,215ordinal-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°.