82988100
82,988,100 is an even composite number composed of six prime numbers multiplied together.
82988100 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 82988100:
22 × 32 × 52 × 13 × 41 × 173
(2 × 2 × 3 × 3 × 5 × 5 × 13 × 41 × 173)See below for interesting mathematical facts about the number 82988100 from the Numbermatics database.
Names of 82988100
- Cardinal: 82988100 can be written as Eighty-two million, nine hundred eighty-eight thousand, one hundred.
Scientific notation
- Scientific notation: 8.29881 × 107
Factors of 82988100
Divisors of 82988100
- Number of divisors d(n): 216
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Complete list of divisors:
1 2 3 4 5 6 9 10 12 13 15 18 20 25 26 30 36 39 41 45 50 52 60 65 75 78 82 90 100 117 123 130 150 156 164 173 180 195 205 225 234 246 260 300 325 346 369 390 410 450 468 492 519 533 585 615 650 692 738 780 820 865 900 975 1025 1038 1066 1170 1230 1300 1476 1557 1599 1730 1845 1950 2050 2076 2132 2249 2340 2460 2595 2665 2925 3075 3114 3198 3460 3690 3900 4100 4325 4498 4797 5190 5330 5850 6150 6228 6396 6747 7093 7380 7785 7995 8650 8996 9225 9594 10380 10660 11245 11700 12300 12975 13325 13494 14186 15570 15990 17300 18450 19188 20241 21279 22490 23985 25950 26650 26988 28372 31140 31980 33735 35465 36900 38925 39975 40482 42558 44980 47970 51900 53300 56225 63837 67470 70930 77850 79950 80964 85116 92209 95940 101205 106395 112450 119925 127674 134940 141860 155700 159900 168675 177325 184418 202410 212790 224900 239850 255348 276627 319185 337350 354650 368836 404820 425580 461045 479700 506025 531975 553254 638370 674700 709300 829881 922090 1012050 1063950 1106508 1276740 1383135 1595925 1659762 1844180 2024100 2127900 2305225 2766270 3191850 3319524 4149405 4610450 5532540 6383700 6915675 8298810 9220900 13831350 16597620 20747025 27662700 41494050 82988100
- Sum of all divisors σ(n): 288622152
- Sum of proper divisors (its aliquot sum) s(n): 205634052
- 82988100 is an abundant number, because the sum of its proper divisors (205634052) is greater than itself. Its abundance is 122645952
Bases of 82988100
- Binary: 1001111001001001100010001002
- Hexadecimal: 0x4F24C44
- Base-36: 1DEQ10
Squares and roots of 82988100
- 82988100 squared (829881002) is 6887024741610000
- 82988100 cubed (829881003) is 571541097959204841000000
-
The
square root of 82988100 is 9109.7804583865 -
The
cube root of 82988100 is 436.1862193055
Scales and comparisons
How big is 82988100?- 82,988,100 seconds is equal to 2 years, 33 weeks, 1 day, 12 hours, 15 minutes.
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To count from 1 to 82,988,100 would take you about three 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 82988100 cubic inches would be around 36.3 feet tall.
Recreational maths with 82988100
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