491,040
491,040 is a composite number, even.
491,040 (four hundred ninety-one thousand forty) is an even 6-digit number. It is a composite number with 144 divisors, and factors as 2⁵ × 3² × 5 × 11 × 31. Its proper divisors sum to 1,395,936, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x77E20.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 18
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 40,194
- Square (n²)
- 241,120,281,600
- Cube (n³)
- 118,399,703,076,864,000
- Divisor count
- 144
- σ(n) — sum of divisors
- 1,886,976
- φ(n) — Euler's totient
- 115,200
- Sum of prime factors
- 63
Primality
Prime factorization: 2 5 × 3 2 × 5 × 11 × 31
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√491,040 = [700; (1, 2, 1, 7, 1, 1, 5, 2, 1, 349, 1, 2, 5, 1, 1, 7, 1, 2, 1, 1400)]
Period length 20 — the block in parentheses repeats forever.
Representations
- In words
- four hundred ninety-one thousand forty
- Ordinal
- 491040th
- Binary
- 1110111111000100000
- Octal
- 1677040
- Hexadecimal
- 0x77E20
- Base64
- B34g
- One's complement
- 4,294,476,255 (32-bit)
- Scientific notation
- 4.9104 × 10⁵
- As a duration
- 491,040 s = 5 days, 16 hours, 24 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵υϟαμʹ
- Chinese
- 四十九萬一千零四十
- Chinese (financial)
- 肆拾玖萬壹仟零肆拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 491040, here are decompositions:
- 37 + 491003 = 491040
- 47 + 490993 = 491040
- 71 + 490969 = 491040
- 73 + 490967 = 491040
- 83 + 490957 = 491040
- 89 + 490951 = 491040
- 103 + 490937 = 491040
- 113 + 490927 = 491040
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.126.32.
- Address
- 0.7.126.32
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.126.32
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 491,040 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 491040 first appears in π at position 542,205 of the decimal expansion (the 542,205ordinal-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°.