478,272
478,272 is a composite number, even.
478,272 (four hundred seventy-eight thousand two hundred seventy-two) is an even 6-digit number. It is a composite number with 56 divisors, and factors as 2⁶ × 3 × 47 × 53. Its proper divisors sum to 838,464, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x74C40.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 30
- Digit product
- 6,272
- Digital root
- 3
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 272,874
- Square (n²)
- 228,744,105,984
- Cube (n³)
- 109,401,901,057,179,648
- Divisor count
- 56
- σ(n) — sum of divisors
- 1,316,736
- φ(n) — Euler's totient
- 153,088
- Sum of prime factors
- 115
Primality
Prime factorization: 2 6 × 3 × 47 × 53
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√478,272 = [691; (1, 1, 2, 1, 28, 1, 2, 1, 1, 1382)]
Period length 10 — the block in parentheses repeats forever.
Representations
- In words
- four hundred seventy-eight thousand two hundred seventy-two
- Ordinal
- 478272nd
- Binary
- 1110100110001000000
- Octal
- 1646100
- Hexadecimal
- 0x74C40
- Base64
- B0xA
- One's complement
- 4,294,489,023 (32-bit)
- Scientific notation
- 4.78272 × 10⁵
- As a duration
- 478,272 s = 5 days, 12 hours, 51 minutes, 12 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
- Greek (Milesian)
- ͵υοησοβʹ
- Chinese
- 四十七萬八千二百七十二
- Chinese (financial)
- 肆拾柒萬捌仟貳佰柒拾貳
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 478272, here are decompositions:
- 13 + 478259 = 478272
- 19 + 478253 = 478272
- 29 + 478243 = 478272
- 31 + 478241 = 478272
- 59 + 478213 = 478272
- 73 + 478199 = 478272
- 83 + 478189 = 478272
- 101 + 478171 = 478272
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.76.64.
- Address
- 0.7.76.64
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.76.64
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 478,272 and was likely granted around 1892.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 478272 first appears in π at position 844,291 of the decimal expansion (the 844,291ordinal-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°.