478,368
478,368 is a composite number, even.
478,368 (four hundred seventy-eight thousand three hundred sixty-eight) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2⁵ × 3² × 11 × 151. Its proper divisors sum to 1,015,488, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x74CA0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 36
- Digit product
- 32,256
- Digital root
- 9
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 863,874
- Square (n²)
- 228,835,943,424
- Cube (n³)
- 109,467,792,583,852,032
- Divisor count
- 72
- σ(n) — sum of divisors
- 1,493,856
- φ(n) — Euler's totient
- 144,000
- Sum of prime factors
- 178
Primality
Prime factorization: 2 5 × 3 2 × 11 × 151
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√478,368 = [691; (1, 1, 1, 3, 1, 3, 21, 1, 2, 3, 1, 13, 2, 27, 1, 2, 1, 27, 2, 13, 1, 3, 2, 1, …)]
Period length 32 — the block in parentheses repeats forever.
Representations
- In words
- four hundred seventy-eight thousand three hundred sixty-eight
- Ordinal
- 478368th
- Binary
- 1110100110010100000
- Octal
- 1646240
- Hexadecimal
- 0x74CA0
- Base64
- B0yg
- One's complement
- 4,294,488,927 (32-bit)
- Scientific notation
- 4.78368 × 10⁵
- As a duration
- 478,368 s = 5 days, 12 hours, 52 minutes, 48 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵υοητξηʹ
- Chinese
- 四十七萬八千三百六十八
- Chinese (financial)
- 肆拾柒萬捌仟參佰陸拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 478368, here are decompositions:
- 17 + 478351 = 478368
- 29 + 478339 = 478368
- 47 + 478321 = 478368
- 97 + 478271 = 478368
- 109 + 478259 = 478368
- 127 + 478241 = 478368
- 179 + 478189 = 478368
- 197 + 478171 = 478368
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.76.160.
- Address
- 0.7.76.160
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.76.160
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 478,368 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 478368 first appears in π at position 652,282 of the decimal expansion (the 652,282ordinal-suffix:nd 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°.