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490,308

490,308 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.).

490,308 (four hundred ninety thousand three hundred eight) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 3 × 7 × 13 × 449. Its proper divisors sum to 920,892, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x77B44.

Abundant Number Arithmetic Number Cube-Free Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
0
Digital root
6
Palindrome
No
Bit width
19 bits
Reversed
803,094
Square (n²)
240,401,934,864
Cube (n³)
117,870,991,879,298,112
Divisor count
48
σ(n) — sum of divisors
1,411,200
φ(n) — Euler's totient
129,024
Sum of prime factors
476

Primality

Prime factorization: 2 2 × 3 × 7 × 13 × 449

Nearest primes: 490,283 (−25) · 490,309 (+1)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 6 · 7 · 12 · 13 · 14 · 21 · 26 · 28 · 39 · 42 · 52 · 78 · 84 · 91 · 156 · 182 · 273 · 364 · 449 · 546 · 898 · 1092 · 1347 · 1796 · 2694 · 3143 · 5388 · 5837 · 6286 · 9429 · 11674 · 12572 · 17511 · 18858 · 23348 · 35022 · 37716 · 40859 · 70044 · 81718 · 122577 · 163436 · 245154 (half) · 490308
Aliquot sum (sum of proper divisors): 920,892
Factor pairs (a × b = 490,308)
1 × 490308
2 × 245154
3 × 163436
4 × 122577
6 × 81718
7 × 70044
12 × 40859
13 × 37716
14 × 35022
21 × 23348
26 × 18858
28 × 17511
39 × 12572
42 × 11674
52 × 9429
78 × 6286
84 × 5837
91 × 5388
156 × 3143
182 × 2694
273 × 1796
364 × 1347
449 × 1092
546 × 898
First multiples
490,308 · 980,616 (double) · 1,470,924 · 1,961,232 · 2,451,540 · 2,941,848 · 3,432,156 · 3,922,464 · 4,412,772 · 4,903,080

Sums & aliquot sequence

As consecutive integers: 163,435 + 163,436 + 163,437 70,041 + 70,042 + … + 70,047 61,285 + 61,286 + … + 61,292 37,710 + 37,711 + … + 37,722
Aliquot sequence: 490,308 920,892 1,668,548 1,728,538 1,251,686 643,714 335,306 170,134 86,834 55,294 27,650 31,870 25,514 12,760 19,640 24,640 48,512 — unresolved within range

Continued fraction of √n

√490,308 = [700; (4, 1, 1, 4, 1, 10, 1, 3, 15, 1, 5, 3, 5, 3, 1, 3, 1, 3, 2, 1, 2, 1, 3, 2, …)]

Period length 56 — the block in parentheses repeats forever.

Representations

In words
four hundred ninety thousand three hundred eight
Ordinal
490308th
Binary
1110111101101000100
Octal
1675504
Hexadecimal
0x77B44
Base64
B3tE
One's complement
4,294,476,987 (32-bit)
Scientific notation
4.90308 × 10⁵
As a duration
490,308 s = 5 days, 16 hours, 11 minutes, 48 seconds
In other bases
ternary (3) 220220120120
quaternary (4) 1313231010
quinary (5) 111142213
senary (6) 14301540
septenary (7) 4111320
nonary (9) 826516
undecimal (11) 305415
duodecimal (12) 1b78b0
tridecimal (13) 142230
tetradecimal (14) ca980
pentadecimal (15) 9a423

As an angle

490,308° = 1,361 × 360° + 348°
348° ≈ 6.074 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υϟτηʹ
Chinese
四十九萬零三百零八
Chinese (financial)
肆拾玖萬零參佰零捌
In other modern scripts
Eastern Arabic ٤٩٠٣٠٨ Devanagari ४९०३०८ Bengali ৪৯০৩০৮ Tamil ௪௯௦௩௦௮ Thai ๔๙๐๓๐๘ Tibetan ༤༩༠༣༠༨ Khmer ៤៩០៣០៨ Lao ໔໙໐໓໐໘ Burmese ၄၉၀၃၀၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 490308, here are decompositions:

  • 31 + 490277 = 490308
  • 37 + 490271 = 490308
  • 41 + 490267 = 490308
  • 59 + 490249 = 490308
  • 61 + 490247 = 490308
  • 67 + 490241 = 490308
  • 101 + 490207 = 490308
  • 107 + 490201 = 490308

Showing the first eight; more decompositions exist.

Hex color
#077B44
RGB(7, 123, 68)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.123.68.

Address
0.7.123.68
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.123.68

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 490,308 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 490308 first appears in π at position 244,345 of the decimal expansion (the 244,345ordinal-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°.