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497,640

497,640 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.).

497,640 (four hundred ninety-seven thousand six hundred forty) is an even 6-digit number. It is a composite number with 128 divisors, and factors as 2³ × 3 × 5 × 11 × 13 × 29. Its proper divisors sum to 1,316,760, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x797E8.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Tetrahedral Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
30
Digit product
0
Digital root
3
Palindrome
No
Bit width
19 bits
Reversed
46,794
Square (n²)
247,645,569,600
Cube (n³)
123,238,341,255,744,000
Divisor count
128
σ(n) — sum of divisors
1,814,400
φ(n) — Euler's totient
107,520
Sum of prime factors
67

Primality

Prime factorization: 2 3 × 3 × 5 × 11 × 13 × 29

Nearest primes: 497,633 (−7) · 497,659 (+19)

Divisors & multiples

All divisors (128)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 11 · 12 · 13 · 15 · 20 · 22 · 24 · 26 · 29 · 30 · 33 · 39 · 40 · 44 · 52 · 55 · 58 · 60 · 65 · 66 · 78 · 87 · 88 · 104 · 110 · 116 · 120 · 130 · 132 · 143 · 145 · 156 · 165 · 174 · 195 · 220 · 232 · 260 · 264 · 286 · 290 · 312 · 319 · 330 · 348 · 377 · 390 · 429 · 435 · 440 · 520 · 572 · 580 · 638 · 660 · 696 · 715 · 754 · 780 · 858 · 870 · 957 · 1131 · 1144 · 1160 · 1276 · 1320 · 1430 · 1508 · 1560 · 1595 · 1716 · 1740 · 1885 · 1914 · 2145 · 2262 · 2552 · 2860 · 3016 · 3190 · 3432 · 3480 · 3770 · 3828 · 4147 · 4290 · 4524 · 4785 · 5655 · 5720 · 6380 · 7540 · 7656 · 8294 · 8580 · 9048 · 9570 · 11310 · 12441 · 12760 · 15080 · 16588 · 17160 · 19140 · 20735 · 22620 · 24882 · 33176 · 38280 · 41470 · 45240 · 49764 · 62205 · 82940 · 99528 · 124410 · 165880 · 248820 (half) · 497640
Aliquot sum (sum of proper divisors): 1,316,760
Factor pairs (a × b = 497,640)
1 × 497640
2 × 248820
3 × 165880
4 × 124410
5 × 99528
6 × 82940
8 × 62205
10 × 49764
11 × 45240
12 × 41470
13 × 38280
15 × 33176
20 × 24882
22 × 22620
24 × 20735
26 × 19140
29 × 17160
30 × 16588
33 × 15080
39 × 12760
40 × 12441
44 × 11310
52 × 9570
55 × 9048
58 × 8580
60 × 8294
65 × 7656
66 × 7540
78 × 6380
87 × 5720
88 × 5655
104 × 4785
110 × 4524
116 × 4290
120 × 4147
130 × 3828
132 × 3770
143 × 3480
145 × 3432
156 × 3190
165 × 3016
174 × 2860
195 × 2552
220 × 2262
232 × 2145
260 × 1914
264 × 1885
286 × 1740
290 × 1716
312 × 1595
319 × 1560
330 × 1508
348 × 1430
377 × 1320
390 × 1276
429 × 1160
435 × 1144
440 × 1131
520 × 957
572 × 870
580 × 858
638 × 780
660 × 754
696 × 715
First multiples
497,640 · 995,280 (double) · 1,492,920 · 1,990,560 · 2,488,200 · 2,985,840 · 3,483,480 · 3,981,120 · 4,478,760 · 4,976,400

Sums & aliquot sequence

As consecutive integers: 165,879 + 165,880 + 165,881 99,526 + 99,527 + 99,528 + 99,529 + 99,530 45,235 + 45,236 + … + 45,245 38,274 + 38,275 + … + 38,286
Aliquot sequence: 497,640 1,316,760 2,633,880 5,453,160 11,481,240 23,192,520 51,742,200 110,747,400 235,435,800 503,802,600 1,281,112,920 2,887,082,280 6,543,796,320 16,390,627,920 — keeps growing

Continued fraction of √n

√497,640 = [705; (2, 3, 2, 2, 4, 2, 1, 4, 5, 4, 1, 2, 4, 2, 2, 3, 2, 1410)]

Period length 18 — the block in parentheses repeats forever.

Representations

In words
four hundred ninety-seven thousand six hundred forty
Ordinal
497640th
Binary
1111001011111101000
Octal
1713750
Hexadecimal
0x797E8
Base64
B5fo
One's complement
4,294,469,655 (32-bit)
Scientific notation
4.9764 × 10⁵
As a duration
497,640 s = 5 days, 18 hours, 14 minutes
In other bases
ternary (3) 221021122010
quaternary (4) 1321133220
quinary (5) 111411030
senary (6) 14355520
septenary (7) 4141563
nonary (9) 837563
undecimal (11) 30a980
duodecimal (12) 1bbba0
tridecimal (13) 145680
tetradecimal (14) cd4da
pentadecimal (15) 9c6b0

As an angle

497,640° = 1,382 × 360° + 120°
120° ≈ 2.094 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵υϟζχμʹ
Chinese
四十九萬七千六百四十
Chinese (financial)
肆拾玖萬柒仟陸佰肆拾
In other modern scripts
Eastern Arabic ٤٩٧٦٤٠ Devanagari ४९७६४० Bengali ৪৯৭৬৪০ Tamil ௪௯௭௬௪௦ Thai ๔๙๗๖๔๐ Tibetan ༤༩༧༦༤༠ Khmer ៤៩៧៦៤០ Lao ໔໙໗໖໔໐ Burmese ၄၉၇၆၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 497640, here are decompositions:

  • 7 + 497633 = 497640
  • 37 + 497603 = 497640
  • 43 + 497597 = 497640
  • 53 + 497587 = 497640
  • 61 + 497579 = 497640
  • 79 + 497561 = 497640
  • 83 + 497557 = 497640
  • 89 + 497551 = 497640

Showing the first eight; more decompositions exist.

Hex color
#0797E8
RGB(7, 151, 232)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.151.232.

Address
0.7.151.232
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.151.232

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 497,640 and was likely granted around 1893.

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°.