490,824
490,824 is a composite number, even.
490,824 (four hundred ninety thousand eight hundred twenty-four) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2³ × 3² × 17 × 401. Its proper divisors sum to 920,196, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x77D48.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 27
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 428,094
- Square (n²)
- 240,908,198,976
- Cube (n³)
- 118,243,525,854,196,224
- Divisor count
- 48
- σ(n) — sum of divisors
- 1,411,020
- φ(n) — Euler's totient
- 153,600
- Sum of prime factors
- 430
Primality
Prime factorization: 2 3 × 3 2 × 17 × 401
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√490,824 = [700; (1, 1, 2, 3, 38, 1, 1, 1, 2, 5, 1, 154, 1, 5, 2, 1, 1, 1, 38, 3, 2, 1, 1, 1400)]
Period length 24 — the block in parentheses repeats forever.
Representations
- In words
- four hundred ninety thousand eight hundred twenty-four
- Ordinal
- 490824th
- Binary
- 1110111110101001000
- Octal
- 1676510
- Hexadecimal
- 0x77D48
- Base64
- B31I
- One's complement
- 4,294,476,471 (32-bit)
- Scientific notation
- 4.90824 × 10⁵
- As a duration
- 490,824 s = 5 days, 16 hours, 20 minutes, 24 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋 𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵υϟωκδʹ
- Chinese
- 四十九萬零八百二十四
- Chinese (financial)
- 肆拾玖萬零捌佰貳拾肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 490824, here are decompositions:
- 41 + 490783 = 490824
- 53 + 490771 = 490824
- 83 + 490741 = 490824
- 127 + 490697 = 490824
- 163 + 490661 = 490824
- 181 + 490643 = 490824
- 193 + 490631 = 490824
- 197 + 490627 = 490824
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.125.72.
- Address
- 0.7.125.72
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.125.72
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 490,824 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 490824 first appears in π at position 711,295 of the decimal expansion (the 711,295ordinal-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°.