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490,716

490,716 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.).

490,716 (four hundred ninety thousand seven hundred sixteen) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2² × 3² × 43 × 317. Its proper divisors sum to 782,556, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x77CDC.

Abundant Number Cube-Free Odious Number Pernicious Number Practical Number Refactorable Number Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
27
Digit product
0
Digital root
9
Palindrome
No
Bit width
19 bits
Reversed
617,094
Square (n²)
240,802,192,656
Cube (n³)
118,165,488,771,381,696
Divisor count
36
σ(n) — sum of divisors
1,273,272
φ(n) — Euler's totient
159,264
Sum of prime factors
370

Primality

Prime factorization: 2 2 × 3 2 × 43 × 317

Nearest primes: 490,697 (−19) · 490,733 (+17)

Divisors & multiples

All divisors (36)
1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 36 · 43 · 86 · 129 · 172 · 258 · 317 · 387 · 516 · 634 · 774 · 951 · 1268 · 1548 · 1902 · 2853 · 3804 · 5706 · 11412 · 13631 · 27262 · 40893 · 54524 · 81786 · 122679 · 163572 · 245358 (half) · 490716
Aliquot sum (sum of proper divisors): 782,556
Factor pairs (a × b = 490,716)
1 × 490716
2 × 245358
3 × 163572
4 × 122679
6 × 81786
9 × 54524
12 × 40893
18 × 27262
36 × 13631
43 × 11412
86 × 5706
129 × 3804
172 × 2853
258 × 1902
317 × 1548
387 × 1268
516 × 951
634 × 774
First multiples
490,716 · 981,432 (double) · 1,472,148 · 1,962,864 · 2,453,580 · 2,944,296 · 3,435,012 · 3,925,728 · 4,416,444 · 4,907,160

Sums & aliquot sequence

As consecutive integers: 163,571 + 163,572 + 163,573 61,336 + 61,337 + … + 61,343 54,520 + 54,521 + … + 54,528 20,435 + 20,436 + … + 20,458
Aliquot sequence: 490,716 782,556 1,043,436 1,421,124 2,234,556 3,413,996 3,096,004 2,322,010 1,906,190 2,351,602 1,529,198 1,056,322 552,014 276,010 291,926 145,966 76,874 — unresolved within range

Continued fraction of √n

√490,716 = [700; (1, 1, 21, 1, 2, 1, 4, 1, 1, 2, 1, 1, 1, 2, 3, 3, 1, 1, 2, 9, 3, 1, 2, 34, …)]

Representations

In words
four hundred ninety thousand seven hundred sixteen
Ordinal
490716th
Binary
1110111110011011100
Octal
1676334
Hexadecimal
0x77CDC
Base64
B3zc
One's complement
4,294,476,579 (32-bit)
Scientific notation
4.90716 × 10⁵
As a duration
490,716 s = 5 days, 16 hours, 18 minutes, 36 seconds
In other bases
ternary (3) 220221010200
quaternary (4) 1313303130
quinary (5) 111200331
senary (6) 14303500
septenary (7) 4112442
nonary (9) 827120
undecimal (11) 305756
duodecimal (12) 1b7b90
tridecimal (13) 142485
tetradecimal (14) cab92
pentadecimal (15) 9a5e6

As an angle

490,716° = 1,363 × 360° + 36°
36° ≈ 0.628 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υϟψιϛʹ
Chinese
四十九萬零七百一十六
Chinese (financial)
肆拾玖萬零柒佰壹拾陸
In other modern scripts
Eastern Arabic ٤٩٠٧١٦ Devanagari ४९०७१६ Bengali ৪৯০৭১৬ Tamil ௪௯௦௭௧௬ Thai ๔๙๐๗๑๖ Tibetan ༤༩༠༧༡༦ Khmer ៤៩០៧១៦ Lao ໔໙໐໗໑໖ Burmese ၄၉၀၇၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 490716, here are decompositions:

  • 19 + 490697 = 490716
  • 53 + 490663 = 490716
  • 73 + 490643 = 490716
  • 89 + 490627 = 490716
  • 97 + 490619 = 490716
  • 137 + 490579 = 490716
  • 139 + 490577 = 490716
  • 157 + 490559 = 490716

Showing the first eight; more decompositions exist.

Hex color
#077CDC
RGB(7, 124, 220)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.124.220.

Address
0.7.124.220
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.124.220

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 490,716 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°.