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490,820

490,820 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.).

490,820 (four hundred ninety thousand eight hundred twenty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 5 × 11 × 23 × 97. Its proper divisors sum to 694,588, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x77D44.

Abundant Number Arithmetic Number Cube-Free Harshad / Niven Odious Number Pernicious Number Practical 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
28,094
Square (n²)
240,904,272,400
Cube (n³)
118,240,634,979,368,000
Divisor count
48
σ(n) — sum of divisors
1,185,408
φ(n) — Euler's totient
168,960
Sum of prime factors
140

Primality

Prime factorization: 2 2 × 5 × 11 × 23 × 97

Nearest primes: 490,783 (−37) · 490,829 (+9)

Divisors & multiples

All divisors (48)
1 · 2 · 4 · 5 · 10 · 11 · 20 · 22 · 23 · 44 · 46 · 55 · 92 · 97 · 110 · 115 · 194 · 220 · 230 · 253 · 388 · 460 · 485 · 506 · 970 · 1012 · 1067 · 1265 · 1940 · 2134 · 2231 · 2530 · 4268 · 4462 · 5060 · 5335 · 8924 · 10670 · 11155 · 21340 · 22310 · 24541 · 44620 · 49082 · 98164 · 122705 · 245410 (half) · 490820
Aliquot sum (sum of proper divisors): 694,588
Factor pairs (a × b = 490,820)
1 × 490820
2 × 245410
4 × 122705
5 × 98164
10 × 49082
11 × 44620
20 × 24541
22 × 22310
23 × 21340
44 × 11155
46 × 10670
55 × 8924
92 × 5335
97 × 5060
110 × 4462
115 × 4268
194 × 2530
220 × 2231
230 × 2134
253 × 1940
388 × 1265
460 × 1067
485 × 1012
506 × 970
First multiples
490,820 · 981,640 (double) · 1,472,460 · 1,963,280 · 2,454,100 · 2,944,920 · 3,435,740 · 3,926,560 · 4,417,380 · 4,908,200

Sums & aliquot sequence

As consecutive integers: 98,162 + 98,163 + 98,164 + 98,165 + 98,166 61,349 + 61,350 + … + 61,356 44,615 + 44,616 + … + 44,625 21,329 + 21,330 + … + 21,351
Aliquot sequence: 490,820 694,588 520,948 470,924 353,200 496,324 378,620 489,268 442,418 221,212 179,468 134,608 133,232 148,744 130,166 70,474 36,374 — unresolved within range

Continued fraction of √n

√490,820 = [700; (1, 1, 2, 2, 2, 1, 5, 28, 2, 2, 1, 1, 1, 2, 3, 4, 1, 10, 2, 21, 2, 2, 2, 5, …)]

Representations

In words
four hundred ninety thousand eight hundred twenty
Ordinal
490820th
Binary
1110111110101000100
Octal
1676504
Hexadecimal
0x77D44
Base64
B31E
One's complement
4,294,476,475 (32-bit)
Scientific notation
4.9082 × 10⁵
As a duration
490,820 s = 5 days, 16 hours, 20 minutes, 20 seconds
In other bases
ternary (3) 220221021112
quaternary (4) 1313311010
quinary (5) 111201240
senary (6) 14304152
septenary (7) 4112651
nonary (9) 827245
undecimal (11) 305840
duodecimal (12) 1b8058
tridecimal (13) 142535
tetradecimal (14) cac28
pentadecimal (15) 9a665

As an angle

490,820° = 1,363 × 360° + 140°
140° ≈ 2.443 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋 𒌋𒌋
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵υϟωκʹ
Chinese
四十九萬零八百二十
Chinese (financial)
肆拾玖萬零捌佰貳拾
In other modern scripts
Eastern Arabic ٤٩٠٨٢٠ Devanagari ४९०८२० Bengali ৪৯০৮২০ Tamil ௪௯௦௮௨௦ Thai ๔๙๐๘๒๐ Tibetan ༤༩༠༨༢༠ Khmer ៤៩០៨២០ Lao ໔໙໐໘໒໐ Burmese ၄၉၀၈၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 490820, here are decompositions:

  • 37 + 490783 = 490820
  • 79 + 490741 = 490820
  • 157 + 490663 = 490820
  • 193 + 490627 = 490820
  • 229 + 490591 = 490820
  • 241 + 490579 = 490820
  • 271 + 490549 = 490820
  • 277 + 490543 = 490820

Showing the first eight; more decompositions exist.

Hex color
#077D44
RGB(7, 125, 68)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.125.68.

Address
0.7.125.68
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.125.68

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 490,820 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°.