478,380
478,380 is a composite number, even.
478,380 (four hundred seventy-eight thousand three hundred eighty) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2² × 3 × 5 × 7 × 17 × 67. Its proper divisors sum to 1,166,676, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x74CAC.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 30
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 83,874
- Square (n²)
- 228,847,424,400
- Cube (n³)
- 109,476,030,884,472,000
- Divisor count
- 96
- σ(n) — sum of divisors
- 1,645,056
- φ(n) — Euler's totient
- 101,376
- Sum of prime factors
- 103
Primality
Prime factorization: 2 2 × 3 × 5 × 7 × 17 × 67
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√478,380 = [691; (1, 1, 1, 6, 12, 3, 4, 1, 10, 1, 4, 3, 12, 6, 1, 1, 1, 1382)]
Period length 18 — the block in parentheses repeats forever.
Representations
- In words
- four hundred seventy-eight thousand three hundred eighty
- Ordinal
- 478380th
- Binary
- 1110100110010101100
- Octal
- 1646254
- Hexadecimal
- 0x74CAC
- Base64
- B0ys
- One's complement
- 4,294,488,915 (32-bit)
- Scientific notation
- 4.7838 × 10⁵
- As a duration
- 478,380 s = 5 days, 12 hours, 53 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵υοητπʹ
- Chinese
- 四十七萬八千三百八十
- Chinese (financial)
- 肆拾柒萬捌仟參佰捌拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 478380, here are decompositions:
- 29 + 478351 = 478380
- 37 + 478343 = 478380
- 41 + 478339 = 478380
- 59 + 478321 = 478380
- 107 + 478273 = 478380
- 109 + 478271 = 478380
- 127 + 478253 = 478380
- 137 + 478243 = 478380
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.76.172.
- Address
- 0.7.76.172
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.76.172
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 478,380 and was likely granted around 1892.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
Related reading
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.