84948864
84,948,864 is an even composite number composed of six prime numbers multiplied together.
84948864 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 84948864:
27 × 3 × 7 × 11 × 132 × 17
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 11 × 13 × 13 × 17)See below for interesting mathematical facts about the number 84948864 from the Numbermatics database.
Names of 84948864
- Cardinal: 84948864 can be written as Eighty-four million, nine hundred forty-eight thousand, eight hundred sixty-four.
Scientific notation
- Scientific notation: 8.4948864 × 107
Factors of 84948864
Divisors of 84948864
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 6 7 8 11 12 13 14 16 17 21 22 24 26 28 32 33 34 39 42 44 48 51 52 56 64 66 68 77 78 84 88 91 96 102 104 112 119 128 132 136 143 154 156 168 169 176 182 187 192 204 208 221 224 231 238 264 272 273 286 308 312 336 338 352 357 364 374 384 408 416 429 442 448 462 476 507 528 544 546 561 572 616 624 663 672 676 704 714 728 748 816 832 858 884 896 924 952 1001 1014 1056 1088 1092 1122 1144 1183 1232 1248 1309 1326 1344 1352 1408 1428 1456 1496 1547 1632 1664 1716 1768 1848 1859 1904 2002 2028 2112 2176 2184 2244 2288 2366 2431 2464 2496 2618 2652 2688 2704 2856 2873 2912 2992 3003 3094 3264 3432 3536 3549 3696 3718 3808 3927 4004 4056 4224 4368 4488 4576 4641 4732 4862 4928 4992 5236 5304 5408 5577 5712 5746 5824 5984 6006 6188 6528 6864 7072 7098 7293 7392 7436 7616 7854 8008 8112 8619 8736 8976 9152 9282 9464 9724 9856 10472 10608 10816 11154 11424 11492 11648 11968 12012 12376 13013 13728 14144 14196 14586 14784 14872 15232 15708 16016 16224 17017 17238 17472 17952 18304 18564 18928 19448 20111 20944 21216 21632 22308 22848 22984 23936 24024 24752 26026 27456 28288 28392 29172 29568 29744 31416 31603 32032 32448 34034 34476 34944 35904 37128 37856 38896 39039 40222 41888 42432 44616 45696 45968 48048 49504 51051 52052 54912 56784 58344 59488 60333 62832 63206 64064 64896 68068 68952 71808 74256 75712 77792 78078 80444 83776 84864 89232 91936 94809 96096 99008 102102 104104 113568 116688 118976 120666 125664 126412 128128 136136 137904 148512 151424 155584 156156 160888 167552 178464 183872 189618 192192 198016 204204 208208 221221 227136 233376 237952 241332 251328 252824 272272 275808 297024 311168 312312 321776 356928 367744 379236 384384 408408 416416 442442 454272 466752 482664 502656 505648 544544 551616 594048 624624 643552 663663 713856 758472 816816 832832 884884 933504 965328 1011296 1089088 1103232 1249248 1287104 1327326 1516944 1633632 1665664 1769768 1930656 2022592 2178176 2498496 2574208 2654652 3033888 3267264 3539536 3861312 4045184 4996992 5309304 6067776 6534528 7079072 7722624 10618608 12135552 14158144 21237216 28316288 42474432 84948864
- Sum of all divisors σ(n): 322548480
- Sum of proper divisors (its aliquot sum) s(n): 237599616
- 84948864 is an abundant number, because the sum of its proper divisors (237599616) is greater than itself. Its abundance is 152650752
Bases of 84948864
- Binary: 1010001000000110111100000002
- Hexadecimal: 0x5103780
- Base-36: 1EKQYO
Squares and roots of 84948864
- 84948864 squared (849488642) is 7216309494890496
- 84948864 cubed (849488643) is 613017293863361439596544
-
The
square root of 84948864 is 9216.7708010995 -
The
cube root of 84948864 is 439.5947784377
Scales and comparisons
How big is 84948864?- 84,948,864 seconds is equal to 2 years, 36 weeks, 3 days, 4 hours, 54 minutes, 24 seconds.
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To count from 1 to 84,948,864 would take you about four 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 84948864 cubic inches would be around 36.6 feet tall.
Recreational maths with 84948864
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