478,040
478,040 is a composite number, even.
478,040 (four hundred seventy-eight thousand forty) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 5 × 17 × 19 × 37. Its proper divisors sum to 753,160, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x74B58.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 23
- Digit product
- 0
- Digital root
- 5
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 40,874
- Square (n²)
- 228,522,241,600
- Cube (n³)
- 109,242,772,374,464,000
- Divisor count
- 64
- σ(n) — sum of divisors
- 1,231,200
- φ(n) — Euler's totient
- 165,888
- Sum of prime factors
- 84
Primality
Prime factorization: 2 3 × 5 × 17 × 19 × 37
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√478,040 = [691; (2, 2, 8, 1, 3, 7, 1, 12, 2, 2, 1, 1, 9, 1, 1, 2, 2, 12, 1, 7, 3, 1, 8, 2, …)]
Period length 26 — the block in parentheses repeats forever.
Representations
- In words
- four hundred seventy-eight thousand forty
- Ordinal
- 478040th
- Binary
- 1110100101101011000
- Octal
- 1645530
- Hexadecimal
- 0x74B58
- Base64
- B0tY
- One's complement
- 4,294,489,255 (32-bit)
- Scientific notation
- 4.7804 × 10⁵
- As a duration
- 478,040 s = 5 days, 12 hours, 47 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵υοημʹ
- Chinese
- 四十七萬八千零四十
- Chinese (financial)
- 肆拾柒萬捌仟零肆拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 478040, here are decompositions:
- 67 + 477973 = 478040
- 127 + 477913 = 478040
- 193 + 477847 = 478040
- 229 + 477811 = 478040
- 271 + 477769 = 478040
- 313 + 477727 = 478040
- 421 + 477619 = 478040
- 463 + 477577 = 478040
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.75.88.
- Address
- 0.7.75.88
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.75.88
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 478,040 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 478040 first appears in π at position 406,799 of the decimal expansion (the 406,799ordinal-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°.