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490,640

490,640 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

490,640 (four hundred ninety thousand six hundred forty) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 5 × 6,133. Its proper divisors sum to 650,284, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x77C90.

Abundant Number Evil Number Gapful Number Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
0
Digital root
5
Palindrome
No
Bit width
19 bits
Reversed
46,094
Square (n²)
240,727,609,600
Cube (n³)
118,110,594,374,144,000
Divisor count
20
σ(n) — sum of divisors
1,140,924
φ(n) — Euler's totient
196,224
Sum of prime factors
6,146

Primality

Prime factorization: 2 4 × 5 × 6133

Nearest primes: 490,631 (−9) · 490,643 (+3)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 40 · 80 · 6133 · 12266 · 24532 · 30665 · 49064 · 61330 · 98128 · 122660 · 245320 (half) · 490640
Aliquot sum (sum of proper divisors): 650,284
Factor pairs (a × b = 490,640)
1 × 490640
2 × 245320
4 × 122660
5 × 98128
8 × 61330
10 × 49064
16 × 30665
20 × 24532
40 × 12266
80 × 6133
First multiples
490,640 · 981,280 (double) · 1,471,920 · 1,962,560 · 2,453,200 · 2,943,840 · 3,434,480 · 3,925,120 · 4,415,760 · 4,906,400

Sums & aliquot sequence

As a sum of two squares: 256² + 652² = 368² + 596²
As consecutive integers: 98,126 + 98,127 + 98,128 + 98,129 + 98,130 15,317 + 15,318 + … + 15,348 2,987 + 2,988 + … + 3,146
Aliquot sequence: 490,640 650,284 580,484 435,370 462,758 231,382 134,018 69,130 59,894 29,950 25,850 27,718 13,862 7,738 4,250 4,174 2,090 — unresolved within range

Continued fraction of √n

√490,640 = [700; (2, 5, 3, 5, 6, 3, 19, 2, 2, 2, 3, 2, 17, 3, 2, 1, 2, 1, 1, 4, 2, 2, 5, 15, …)]

Period length 58 — the block in parentheses repeats forever.

Representations

In words
four hundred ninety thousand six hundred forty
Ordinal
490640th
Binary
1110111110010010000
Octal
1676220
Hexadecimal
0x77C90
Base64
B3yQ
One's complement
4,294,476,655 (32-bit)
Scientific notation
4.9064 × 10⁵
As a duration
490,640 s = 5 days, 16 hours, 17 minutes, 20 seconds
In other bases
ternary (3) 220221000212
quaternary (4) 1313302100
quinary (5) 111200030
senary (6) 14303252
septenary (7) 4112303
nonary (9) 827025
undecimal (11) 305697
duodecimal (12) 1b7b28
tridecimal (13) 142427
tetradecimal (14) cab3a
pentadecimal (15) 9a595

As an angle

490,640° = 1,362 × 360° + 320°
320° ≈ 5.585 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵υϟχμʹ
Chinese
四十九萬零六百四十
Chinese (financial)
肆拾玖萬零陸佰肆拾
In other modern scripts
Eastern Arabic ٤٩٠٦٤٠ Devanagari ४९०६४० Bengali ৪৯০৬৪০ Tamil ௪௯௦௬௪௦ Thai ๔๙๐๖๔๐ Tibetan ༤༩༠༦༤༠ Khmer ៤៩០៦៤០ Lao ໔໙໐໖໔໐ Burmese ၄၉၀၆၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 490640, here are decompositions:

  • 13 + 490627 = 490640
  • 61 + 490579 = 490640
  • 67 + 490573 = 490640
  • 97 + 490543 = 490640
  • 103 + 490537 = 490640
  • 181 + 490459 = 490640
  • 223 + 490417 = 490640
  • 331 + 490309 = 490640

Showing the first eight; more decompositions exist.

Hex color
#077C90
RGB(7, 124, 144)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.124.144.

Address
0.7.124.144
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.124.144

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 490,640 and was likely granted around 1892.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 490640 first appears in π at position 602,354 of the decimal expansion (the 602,354ordinal-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°.