472,640
472,640 is a composite number, even.
472,640 (four hundred seventy-two thousand six hundred forty) is an even 6-digit number. It is a composite number with 56 divisors, and factors as 2⁶ × 5 × 7 × 211. Its proper divisors sum to 819,712, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73640.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 23
- Digit product
- 0
- Digital root
- 5
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 46,274
- Square (n²)
- 223,388,569,600
- Cube (n³)
- 105,582,373,535,744,000
- Divisor count
- 56
- σ(n) — sum of divisors
- 1,292,352
- φ(n) — Euler's totient
- 161,280
- Sum of prime factors
- 235
Primality
Prime factorization: 2 6 × 5 × 7 × 211
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√472,640 = [687; (2, 20, 1, 1, 1, 7, 1, 7, 3, 1, 43, 1, 1, 2, 10, 1, 2, 4, 1, 1, 4, 1, 1, 10, …)]
Period length 60 — the block in parentheses repeats forever.
Representations
- In words
- four hundred seventy-two thousand six hundred forty
- Ordinal
- 472640th
- Binary
- 1110011011001000000
- Octal
- 1633100
- Hexadecimal
- 0x73640
- Base64
- BzZA
- One's complement
- 4,294,494,655 (32-bit)
- Scientific notation
- 4.7264 × 10⁵
- As a duration
- 472,640 s = 5 days, 11 hours, 17 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵υοβχμʹ
- Chinese
- 四十七萬二千六百四十
- Chinese (financial)
- 肆拾柒萬貳仟陸佰肆拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 472640, here are decompositions:
- 43 + 472597 = 472640
- 67 + 472573 = 472640
- 79 + 472561 = 472640
- 97 + 472543 = 472640
- 163 + 472477 = 472640
- 229 + 472411 = 472640
- 241 + 472399 = 472640
- 271 + 472369 = 472640
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.54.64.
- Address
- 0.7.54.64
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.54.64
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 472,640 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 472640 first appears in π at position 896,081 of the decimal expansion (the 896,081ordinal-suffix:st 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°.