478,020
478,020 is a composite number, even.
478,020 (four hundred seventy-eight thousand twenty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 3 × 5 × 31 × 257. Its proper divisors sum to 908,988, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x74B44.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 21
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 20,874
- Square (n²)
- 228,503,120,400
- Cube (n³)
- 109,229,061,613,608,000
- Divisor count
- 48
- σ(n) — sum of divisors
- 1,387,008
- φ(n) — Euler's totient
- 122,880
- Sum of prime factors
- 300
Primality
Prime factorization: 2 2 × 3 × 5 × 31 × 257
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√478,020 = [691; (2, 1, 1, 3, 2, 1, 3, 5, 3, 1, 1, 6, 5, 1, 1, 1, 2, 1, 2, 11, 16, 2, 1, 2, …)]
Representations
- In words
- four hundred seventy-eight thousand twenty
- Ordinal
- 478020th
- Binary
- 1110100101101000100
- Octal
- 1645504
- Hexadecimal
- 0x74B44
- Base64
- B0tE
- One's complement
- 4,294,489,275 (32-bit)
- Scientific notation
- 4.7802 × 10⁵
- As a duration
- 478,020 s = 5 days, 12 hours, 47 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆
- Greek (Milesian)
- ͵υοηκʹ
- Chinese
- 四十七萬八千零二十
- Chinese (financial)
- 肆拾柒萬捌仟零貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 478020, here are decompositions:
- 19 + 478001 = 478020
- 29 + 477991 = 478020
- 43 + 477977 = 478020
- 47 + 477973 = 478020
- 73 + 477947 = 478020
- 79 + 477941 = 478020
- 107 + 477913 = 478020
- 139 + 477881 = 478020
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.75.68.
- Address
- 0.7.75.68
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.75.68
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 478,020 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 478020 first appears in π at position 506,012 of the decimal expansion (the 506,012ordinal-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°.