828085104
828,085,104 is an even composite number composed of six prime numbers multiplied together.
828085104 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred sixty divisors.
Prime factorization of 828085104:
24 × 32 × 72 × 11 × 47 × 227
(2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 11 × 47 × 227)See below for interesting mathematical facts about the number 828085104 from the Numbermatics database.
Names of 828085104
- Cardinal: 828085104 can be written as Eight hundred twenty-eight million, eighty-five thousand, one hundred four.
Scientific notation
- Scientific notation: 8.28085104 × 108
Factors of 828085104
Divisors of 828085104
- Number of divisors d(n): 360
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Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 33 36 42 44 47 48 49 56 63 66 72 77 84 88 94 98 99 112 126 132 141 144 147 154 168 176 188 196 198 227 231 252 264 282 294 308 329 336 376 392 396 423 441 454 462 504 517 528 539 564 588 616 658 681 693 752 784 792 846 882 908 924 987 1008 1034 1078 1128 1176 1232 1316 1362 1386 1551 1584 1589 1617 1692 1764 1816 1848 1974 2043 2068 2156 2256 2303 2352 2497 2632 2724 2772 2961 3102 3178 3234 3384 3528 3619 3632 3696 3948 4086 4136 4312 4606 4653 4767 4851 4994 5264 5448 5544 5922 6204 6356 6468 6768 6909 7056 7238 7491 7896 8172 8272 8624 9212 9306 9534 9702 9988 10669 10857 10896 11088 11123 11844 12408 12712 12936 13818 14301 14476 14982 15792 16344 17479 18424 18612 19068 19404 19976 20727 21338 21714 22246 22473 23688 24816 25333 25424 25872 27636 28602 28952 29964 32007 32571 32688 33369 34958 36848 37224 38136 38808 39952 41454 42676 43428 44492 44946 47376 50666 52437 55272 57204 57904 59928 64014 65142 66738 69916 74448 74683 75999 76272 77616 82908 85352 86856 88984 89892 96021 100107 101332 104874 110544 114408 117359 119856 122353 128028 130284 133476 139832 149366 151998 157311 165816 170704 173712 177968 179784 192042 200214 202664 209748 224049 227997 228816 234718 244706 256056 260568 266952 279664 298732 303996 314622 331632 352077 359568 367059 384084 400428 405328 419496 448098 455994 469436 489412 512112 521136 522781 533904 597464 607992 629244 672147 704154 734118 768168 800856 821513 838992 896196 911988 938872 978824 1045562 1056231 1101177 1194928 1215984 1258488 1344294 1408308 1468236 1536336 1568343 1601712 1643026 1792392 1823976 1877744 1957648 2091124 2112462 2202354 2464539 2516976 2688588 2816616 2936472 3136686 3286052 3584784 3647952 4182248 4224924 4404708 4705029 4929078 5377176 5633232 5750591 5872944 6273372 6572104 7393617 8364496 8449848 8809416 9410058 9858156 10754352 11501182 12546744 13144208 14787234 16899696 17251773 17618832 18820116 19716312 23002364 25093488 29574468 34503546 37640232 39432624 46004728 51755319 59148936 69007092 75280464 92009456 103510638 118297872 138014184 207021276 276028368 414042552 828085104
- Sum of all divisors σ(n): 3016735488
- Sum of proper divisors (its aliquot sum) s(n): 2188650384
- 828085104 is an abundant number, because the sum of its proper divisors (2188650384) is greater than itself. Its abundance is 1360565280
Bases of 828085104
- Binary: 1100010101101110010011011100002
- Hexadecimal: 0x315B9370
- Base-36: DP0QK0
Squares and roots of 828085104
- 828085104 squared (8280851042) is 685724939466690816
- 828085104 cubed (8280851043) is 567838607813668368903204864
-
The
square root of 828085104 is 28776.4678861045 -
The
cube root of 828085104 is 939.0563579835
Scales and comparisons
How big is 828085104?- 828,085,104 seconds is equal to 26 years, 17 weeks, 1 day, 7 hours, 38 minutes, 24 seconds.
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To count from 1 to 828,085,104 would take you about thirty-nine years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 828085104 cubic inches would be around 78.3 feet tall.
Recreational maths with 828085104
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