83083968
83,083,968 is an even composite number composed of five prime numbers multiplied together.
83083968 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty divisors.
Prime factorization of 83083968:
26 × 34 × 11 × 31 × 47
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 11 × 31 × 47)See below for interesting mathematical facts about the number 83083968 from the Numbermatics database.
Names of 83083968
- Cardinal: 83083968 can be written as Eighty-three million, eighty-three thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 8.3083968 × 107
Factors of 83083968
Divisors of 83083968
- Number of divisors d(n): 280
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Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 24 27 31 32 33 36 44 47 48 54 62 64 66 72 81 88 93 94 96 99 108 124 132 141 144 162 176 186 188 192 198 216 248 264 279 282 288 297 324 341 352 372 376 396 423 432 496 517 528 558 564 576 594 648 682 704 744 752 792 837 846 864 891 992 1023 1034 1056 1116 1128 1188 1269 1296 1364 1457 1488 1504 1551 1584 1674 1692 1728 1782 1984 2046 2068 2112 2232 2256 2376 2511 2538 2592 2728 2914 2976 3008 3069 3102 3168 3348 3384 3564 3807 4092 4136 4371 4464 4512 4653 4752 5022 5076 5184 5456 5828 5952 6138 6204 6336 6696 6768 7128 7614 8184 8272 8742 8928 9024 9207 9306 9504 10044 10152 10912 11656 12276 12408 13113 13392 13536 13959 14256 15228 16027 16368 16544 17484 17856 18414 18612 19008 20088 20304 21824 23312 24552 24816 26226 26784 27072 27621 27918 28512 30456 32054 32736 33088 34968 36828 37224 39339 40176 40608 41877 46624 48081 49104 49632 52452 53568 55242 55836 57024 60912 64108 65472 69936 73656 74448 78678 80352 81216 83754 93248 96162 98208 99264 104904 110484 111672 118017 121824 128216 139872 144243 147312 148896 157356 160704 167508 192324 196416 209808 220968 223344 236034 243648 256432 279744 288486 294624 297792 314712 335016 384648 419616 432729 441936 446688 472068 512864 576972 589248 629424 670032 769296 839232 865458 883872 893376 944136 1025728 1153944 1258848 1298187 1340064 1538592 1730916 1767744 1888272 2307888 2517696 2596374 2680128 3077184 3461832 3776544 4615776 5192748 6923664 7553088 9231552 10385496 13847328 20770992 27694656 41541984 83083968
- Sum of all divisors σ(n): 283244544
- Sum of proper divisors (its aliquot sum) s(n): 200160576
- 83083968 is an abundant number, because the sum of its proper divisors (200160576) is greater than itself. Its abundance is 117076608
Bases of 83083968
- Binary: 1001111001111000010110000002
- Hexadecimal: 0x4F3C2C0
- Base-36: 1DGS00
Squares and roots of 83083968
- 83083968 squared (830839682) is 6902945738625024
- 83083968 cubed (830839683) is 573524122853657858015232
-
The
square root of 83083968 is 9115.0407569029 -
The
cube root of 83083968 is 436.3541157013
Scales and comparisons
How big is 83083968?- 83,083,968 seconds is equal to 2 years, 33 weeks, 2 days, 14 hours, 52 minutes, 48 seconds.
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To count from 1 to 83,083,968 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 83083968 cubic inches would be around 36.4 feet tall.
Recreational maths with 83083968
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