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490,688

490,688 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.).

490,688 (four hundred ninety thousand six hundred eighty-eight) is an even 6-digit number. It is a composite number with 56 divisors, and factors as 2⁶ × 11 × 17 × 41. Its proper divisors sum to 661,456, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x77CC0.

Abundant Number Arithmetic Number Evil Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
35
Digit product
0
Digital root
8
Palindrome
No
Bit width
19 bits
Reversed
886,094
Square (n²)
240,774,713,344
Cube (n³)
118,145,262,541,340,672
Divisor count
56
σ(n) — sum of divisors
1,152,144
φ(n) — Euler's totient
204,800
Sum of prime factors
81

Primality

Prime factorization: 2 6 × 11 × 17 × 41

Nearest primes: 490,663 (−25) · 490,697 (+9)

Divisors & multiples

All divisors (56)
1 · 2 · 4 · 8 · 11 · 16 · 17 · 22 · 32 · 34 · 41 · 44 · 64 · 68 · 82 · 88 · 136 · 164 · 176 · 187 · 272 · 328 · 352 · 374 · 451 · 544 · 656 · 697 · 704 · 748 · 902 · 1088 · 1312 · 1394 · 1496 · 1804 · 2624 · 2788 · 2992 · 3608 · 5576 · 5984 · 7216 · 7667 · 11152 · 11968 · 14432 · 15334 · 22304 · 28864 · 30668 · 44608 · 61336 · 122672 · 245344 (half) · 490688
Aliquot sum (sum of proper divisors): 661,456
Factor pairs (a × b = 490,688)
1 × 490688
2 × 245344
4 × 122672
8 × 61336
11 × 44608
16 × 30668
17 × 28864
22 × 22304
32 × 15334
34 × 14432
41 × 11968
44 × 11152
64 × 7667
68 × 7216
82 × 5984
88 × 5576
136 × 3608
164 × 2992
176 × 2788
187 × 2624
272 × 1804
328 × 1496
352 × 1394
374 × 1312
451 × 1088
544 × 902
656 × 748
697 × 704
First multiples
490,688 · 981,376 (double) · 1,472,064 · 1,962,752 · 2,453,440 · 2,944,128 · 3,434,816 · 3,925,504 · 4,416,192 · 4,906,880

Sums & aliquot sequence

As consecutive integers: 44,603 + 44,604 + … + 44,613 28,856 + 28,857 + … + 28,872 11,948 + 11,949 + … + 11,988 3,770 + 3,771 + … + 3,897
Aliquot sequence: 490,688 661,456 620,146 331,838 204,250 207,590 166,090 150,782 75,394 54,206 27,106 13,556 10,174 5,090 4,090 3,290 3,622 — unresolved within range

Continued fraction of √n

√490,688 = [700; (2, 28, 10, 1, 10, 8, 5, 21, 1, 2, 3, 1, 1, 3, 2, 2, 10, 1, 1, 6, 1, 1, 1, 1, …)]

Period length 52 — the block in parentheses repeats forever.

Representations

In words
four hundred ninety thousand six hundred eighty-eight
Ordinal
490688th
Binary
1110111110011000000
Octal
1676300
Hexadecimal
0x77CC0
Base64
B3zA
One's complement
4,294,476,607 (32-bit)
Scientific notation
4.90688 × 10⁵
As a duration
490,688 s = 5 days, 16 hours, 18 minutes, 8 seconds
In other bases
ternary (3) 220221002122
quaternary (4) 1313303000
quinary (5) 111200223
senary (6) 14303412
septenary (7) 4112402
nonary (9) 827078
undecimal (11) 305730
duodecimal (12) 1b7b68
tridecimal (13) 142463
tetradecimal (14) cab72
pentadecimal (15) 9a5c8

As an angle

490,688° = 1,363 × 360° + 8°
8° ≈ 0.14 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υϟχπηʹ
Chinese
四十九萬零六百八十八
Chinese (financial)
肆拾玖萬零陸佰捌拾捌
In other modern scripts
Eastern Arabic ٤٩٠٦٨٨ Devanagari ४९०६८८ Bengali ৪৯০৬৮৮ Tamil ௪௯௦௬௮௮ Thai ๔๙๐๖๘๘ Tibetan ༤༩༠༦༨༨ Khmer ៤៩០៦៨៨ Lao ໔໙໐໖໘໘ Burmese ၄၉၀၆၈၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 490688, here are decompositions:

  • 61 + 490627 = 490688
  • 97 + 490591 = 490688
  • 109 + 490579 = 490688
  • 139 + 490549 = 490688
  • 151 + 490537 = 490688
  • 229 + 490459 = 490688
  • 271 + 490417 = 490688
  • 349 + 490339 = 490688

Showing the first eight; more decompositions exist.

Hex color
#077CC0
RGB(7, 124, 192)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.124.192.

Address
0.7.124.192
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.124.192

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 490,688 and was likely granted around 1892.

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

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.