472,384
472,384 is a composite number, even.
472,384 (four hundred seventy-two thousand three hundred eighty-four) is an even 6-digit number. It is a composite number with 42 divisors, and factors as 2⁶ × 11² × 61. Its proper divisors sum to 574,858, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73540.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 28
- Digit product
- 5,376
- Digital root
- 1
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 483,274
- Recamán's sequence
- a(137,320) = 472,384
- Square (n²)
- 223,146,643,456
- Cube (n³)
- 105,410,904,022,319,104
- Divisor count
- 42
- σ(n) — sum of divisors
- 1,047,242
- φ(n) — Euler's totient
- 211,200
- Sum of prime factors
- 95
Primality
Prime factorization: 2 6 × 11 2 × 61
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√472,384 = [687; (3, 3, 4, 1, 3, 2, 1, 1, 4, 1, 1, 1, 2, 1, 34, 1, 1, 11, 1, 1, 1, 11, 1, 1, …)]
Period length 40 — the block in parentheses repeats forever.
Representations
- In words
- four hundred seventy-two thousand three hundred eighty-four
- Ordinal
- 472384th
- Binary
- 1110011010101000000
- Octal
- 1632500
- Hexadecimal
- 0x73540
- Base64
- BzVA
- One's complement
- 4,294,494,911 (32-bit)
- Scientific notation
- 4.72384 × 10⁵
- As a duration
- 472,384 s = 5 days, 11 hours, 13 minutes, 4 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹 𒌋𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵υοβτπδʹ
- Chinese
- 四十七萬二千三百八十四
- Chinese (financial)
- 肆拾柒萬貳仟參佰捌拾肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 472384, here are decompositions:
- 53 + 472331 = 472384
- 83 + 472301 = 472384
- 131 + 472253 = 472384
- 137 + 472247 = 472384
- 191 + 472193 = 472384
- 233 + 472151 = 472384
- 251 + 472133 = 472384
- 257 + 472127 = 472384
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.53.64.
- Address
- 0.7.53.64
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.53.64
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 472,384 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 472384 first appears in π at position 529,138 of the decimal expansion (the 529,138ordinal-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°.