472,320
472,320 is a composite number, even.
472,320 (four hundred seventy-two thousand three hundred twenty) is an even 6-digit number. It is a composite number with 108 divisors, and factors as 2⁸ × 3² × 5 × 41. Its proper divisors sum to 1,201,716, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73500.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 18
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 23,274
- Square (n²)
- 223,086,182,400
- Cube (n³)
- 105,368,065,671,168,000
- Divisor count
- 108
- σ(n) — sum of divisors
- 1,674,036
- φ(n) — Euler's totient
- 122,880
- Sum of prime factors
- 68
Primality
Prime factorization: 2 8 × 3 2 × 5 × 41
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√472,320 = [687; (3, 1, 10, 1, 4, 85, 1, 2, 2, 1, 2, 5, 3, 343, 3, 5, 2, 1, 2, 2, 1, 85, 4, 1, …)]
Period length 28 — the block in parentheses repeats forever.
Representations
- In words
- four hundred seventy-two thousand three hundred twenty
- Ordinal
- 472320th
- Binary
- 1110011010100000000
- Octal
- 1632400
- Hexadecimal
- 0x73500
- Base64
- BzUA
- One's complement
- 4,294,494,975 (32-bit)
- Scientific notation
- 4.7232 × 10⁵
- As a duration
- 472,320 s = 5 days, 11 hours, 12 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹 𒌋𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓎆𓎆
- Greek (Milesian)
- ͵υοβτκʹ
- Chinese
- 四十七萬二千三百二十
- Chinese (financial)
- 肆拾柒萬貳仟參佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 472320, here are decompositions:
- 11 + 472309 = 472320
- 19 + 472301 = 472320
- 31 + 472289 = 472320
- 47 + 472273 = 472320
- 59 + 472261 = 472320
- 67 + 472253 = 472320
- 71 + 472249 = 472320
- 73 + 472247 = 472320
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.53.0.
- Address
- 0.7.53.0
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.53.0
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 472,320 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 472320 first appears in π at position 267,212 of the decimal expansion (the 267,212ordinal-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°.