490,440
490,440 is a composite number, even.
490,440 (four hundred ninety thousand four hundred forty) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3 × 5 × 61 × 67. Its proper divisors sum to 1,027,320, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x77BC8.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 21
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 44,094
- Square (n²)
- 240,531,393,600
- Cube (n³)
- 117,966,216,677,184,000
- Divisor count
- 64
- σ(n) — sum of divisors
- 1,517,760
- φ(n) — Euler's totient
- 126,720
- Sum of prime factors
- 142
Primality
Prime factorization: 2 3 × 3 × 5 × 61 × 67
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√490,440 = [700; (3, 5, 2, 11, 8, 2, 4, 1, 5, 23, 5, 1, 4, 2, 8, 11, 2, 5, 3, 1400)]
Period length 20 — the block in parentheses repeats forever.
Representations
- In words
- four hundred ninety thousand four hundred forty
- Ordinal
- 490440th
- Binary
- 1110111101111001000
- Octal
- 1675710
- Hexadecimal
- 0x77BC8
- Base64
- B3vI
- One's complement
- 4,294,476,855 (32-bit)
- Scientific notation
- 4.9044 × 10⁵
- As a duration
- 490,440 s = 5 days, 16 hours, 14 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵υϟυμʹ
- Chinese
- 四十九萬零四百四十
- Chinese (financial)
- 肆拾玖萬零肆佰肆拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 490440, here are decompositions:
- 19 + 490421 = 490440
- 23 + 490417 = 490440
- 47 + 490393 = 490440
- 73 + 490367 = 490440
- 101 + 490339 = 490440
- 127 + 490313 = 490440
- 131 + 490309 = 490440
- 157 + 490283 = 490440
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.123.200.
- Address
- 0.7.123.200
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.123.200
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 490,440 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 490440 first appears in π at position 437,832 of the decimal expansion (the 437,832ordinal-suffix:nd 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°.