478,848
478,848 is a composite number, even.
478,848 (four hundred seventy-eight thousand eight hundred forty-eight) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2⁷ × 3 × 29 × 43. Its proper divisors sum to 867,552, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x74E80.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 39
- Digit product
- 57,344
- Digital root
- 3
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 848,874
- Square (n²)
- 229,295,407,104
- Cube (n³)
- 109,797,647,100,936,192
- Divisor count
- 64
- σ(n) — sum of divisors
- 1,346,400
- φ(n) — Euler's totient
- 150,528
- Sum of prime factors
- 89
Primality
Prime factorization: 2 7 × 3 × 29 × 43
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√478,848 = [691; (1, 85, 2, 345, 2, 85, 1, 1382)]
Period length 8 — the block in parentheses repeats forever.
Representations
- In words
- four hundred seventy-eight thousand eight hundred forty-eight
- Ordinal
- 478848th
- Binary
- 1110100111010000000
- Octal
- 1647200
- Hexadecimal
- 0x74E80
- Base64
- B06A
- One's complement
- 4,294,488,447 (32-bit)
- Scientific notation
- 4.78848 × 10⁵
- As a duration
- 478,848 s = 5 days, 13 hours, 48 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹𒁹𒁹 · 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵υοηωμηʹ
- Chinese
- 四十七萬八千八百四十八
- Chinese (financial)
- 肆拾柒萬捌仟捌佰肆拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 478848, here are decompositions:
- 5 + 478843 = 478848
- 17 + 478831 = 478848
- 37 + 478811 = 478848
- 47 + 478801 = 478848
- 61 + 478787 = 478848
- 79 + 478769 = 478848
- 101 + 478747 = 478848
- 107 + 478741 = 478848
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.78.128.
- Address
- 0.7.78.128
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.78.128
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 478,848 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 478848 first appears in π at position 125,153 of the decimal expansion (the 125,153ordinal-suffix:rd 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°.