82948320
82,948,320 is an even composite number composed of six prime numbers multiplied together.
82948320 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 82948320:
25 × 33 × 5 × 7 × 13 × 211
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 13 × 211)See below for interesting mathematical facts about the number 82948320 from the Numbermatics database.
Names of 82948320
- Cardinal: 82948320 can be written as Eighty-two million, nine hundred forty-eight thousand, three hundred twenty.
Scientific notation
- Scientific notation: 8.294832 × 107
Factors of 82948320
Divisors of 82948320
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 26 27 28 30 32 35 36 39 40 42 45 48 52 54 56 60 63 65 70 72 78 80 84 90 91 96 104 105 108 112 117 120 126 130 135 140 144 156 160 168 180 182 189 195 208 210 211 216 224 234 240 252 260 270 273 280 288 312 315 336 351 360 364 378 390 416 420 422 432 455 468 480 504 520 540 546 560 585 624 630 633 672 702 720 728 756 780 819 840 844 864 910 936 945 1008 1040 1055 1080 1092 1120 1170 1248 1260 1266 1365 1404 1440 1456 1477 1512 1560 1638 1680 1688 1755 1820 1872 1890 1899 2016 2080 2110 2160 2184 2340 2457 2520 2532 2730 2743 2808 2912 2954 3024 3120 3165 3276 3360 3376 3510 3640 3744 3780 3798 4095 4220 4320 4368 4431 4680 4914 5040 5064 5460 5486 5616 5697 5908 6048 6240 6330 6552 6752 7020 7280 7385 7560 7596 8190 8229 8440 8736 8862 9360 9495 9828 10080 10128 10920 10972 11232 11394 11816 12285 12660 13104 13293 13715 14040 14560 14770 15120 15192 16380 16458 16880 17724 18720 18990 19201 19656 20256 21840 21944 22155 22788 23632 24570 24687 25320 26208 26586 27430 28080 28485 29540 30240 30384 32760 32916 33760 35448 37980 38402 39312 39879 41145 43680 43888 44310 45576 47264 49140 49374 50640 53172 54860 56160 56970 57603 59080 60768 65520 65832 66465 70896 74061 75960 76804 78624 79758 82290 87776 88620 91152 96005 98280 98748 101280 106344 109720 113940 115206 118160 123435 131040 131664 132930 141792 148122 151920 153608 159516 164580 172809 177240 182304 192010 196560 197496 199395 212688 219440 227880 230412 236320 246870 263328 265860 288015 296244 303840 307216 319032 329160 345618 354480 370305 384020 393120 394992 398790 425376 438880 455760 460824 493740 518427 531720 576030 592488 614432 638064 658320 691236 708960 740610 768040 789984 797580 864045 911520 921648 987480 1036854 1063440 1152060 1184976 1276128 1316640 1382472 1481220 1536080 1595160 1728090 1843296 1974960 2073708 2126880 2304120 2369952 2592135 2764944 2962440 3072160 3190320 3456180 3949920 4147416 4608240 5184270 5529888 5924880 6380640 6912360 8294832 9216480 10368540 11849760 13824720 16589664 20737080 27649440 41474160 82948320
- Sum of all divisors σ(n): 359009280
- Sum of proper divisors (its aliquot sum) s(n): 276060960
- 82948320 is an abundant number, because the sum of its proper divisors (276060960) is greater than itself. Its abundance is 193112640
Bases of 82948320
- Binary: 1001111000110110000111000002
- Hexadecimal: 0x4F1B0E0
- Base-36: 1DDVC0
Squares and roots of 82948320
- 82948320 squared (829483202) is 6880423790822400
- 82948320 cubed (829483203) is 570719594336749498368000
-
The
square root of 82948320 is 9107.5968290215 -
The
cube root of 82948320 is 436.1165134841
Scales and comparisons
How big is 82948320?- 82,948,320 seconds is equal to 2 years, 33 weeks, 1 day, 1 hour, 12 minutes.
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To count from 1 to 82,948,320 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 82948320 cubic inches would be around 36.3 feet tall.
Recreational maths with 82948320
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