478,640
478,640 is a composite number, even.
478,640 (four hundred seventy-eight thousand six hundred forty) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 5 × 31 × 193. Its proper divisors sum to 676,048, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x74DB0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 29
- Digit product
- 0
- Digital root
- 2
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 46,874
- Square (n²)
- 229,096,249,600
- Cube (n³)
- 109,654,628,908,544,000
- Divisor count
- 40
- σ(n) — sum of divisors
- 1,154,688
- φ(n) — Euler's totient
- 184,320
- Sum of prime factors
- 237
Primality
Prime factorization: 2 4 × 5 × 31 × 193
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√478,640 = [691; (1, 5, 5, 1, 1, 1, 1, 1, 6, 3, 44, 3, 6, 1, 1, 1, 1, 1, 5, 5, 1, 1382)]
Period length 22 — the block in parentheses repeats forever.
Representations
- In words
- four hundred seventy-eight thousand six hundred forty
- Ordinal
- 478640th
- Binary
- 1110100110110110000
- Octal
- 1646660
- Hexadecimal
- 0x74DB0
- Base64
- B02w
- One's complement
- 4,294,488,655 (32-bit)
- Scientific notation
- 4.7864 × 10⁵
- As a duration
- 478,640 s = 5 days, 12 hours, 57 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵υοηχμʹ
- Chinese
- 四十七萬八千六百四十
- Chinese (financial)
- 肆拾柒萬捌仟陸佰肆拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 478640, here are decompositions:
- 3 + 478637 = 478640
- 13 + 478627 = 478640
- 37 + 478603 = 478640
- 61 + 478579 = 478640
- 67 + 478573 = 478640
- 109 + 478531 = 478640
- 157 + 478483 = 478640
- 181 + 478459 = 478640
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.77.176.
- Address
- 0.7.77.176
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.77.176
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 478,640 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 478640 first appears in π at position 696,546 of the decimal expansion (the 696,546ordinal-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°.