82971168
82,971,168 is an even composite number composed of six prime numbers multiplied together.
82971168 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 82971168:
25 × 3 × 7 × 37 × 47 × 71
(2 × 2 × 2 × 2 × 2 × 3 × 7 × 37 × 47 × 71)See below for interesting mathematical facts about the number 82971168 from the Numbermatics database.
Names of 82971168
- Cardinal: 82971168 can be written as Eighty-two million, nine hundred seventy-one thousand, one hundred sixty-eight.
Scientific notation
- Scientific notation: 8.2971168 × 107
Factors of 82971168
Divisors of 82971168
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 47 48 56 71 74 84 94 96 111 112 141 142 148 168 188 213 222 224 259 282 284 296 329 336 376 426 444 497 518 564 568 592 658 672 752 777 852 888 987 994 1036 1128 1136 1184 1316 1491 1504 1554 1704 1739 1776 1974 1988 2072 2256 2272 2627 2632 2982 3108 3337 3408 3478 3552 3948 3976 4144 4512 5217 5254 5264 5964 6216 6674 6816 6956 7881 7896 7952 8288 10011 10434 10508 10528 11928 12173 12432 13348 13912 15762 15792 15904 18389 20022 20868 21016 23359 23856 24346 24864 26696 27824 31524 31584 36519 36778 40044 41736 42032 46718 47712 48692 53392 55167 55648 63048 70077 73038 73556 80088 83472 84064 93436 97384 106784 110334 123469 126096 140154 146076 147112 160176 166944 186872 194768 220668 246938 252192 280308 292152 294224 320352 370407 373744 389536 441336 493876 560616 584304 588448 740814 747488 864283 882672 987752 1121232 1168608 1481628 1728566 1765344 1975504 2242464 2592849 2963256 3457132 3951008 5185698 5926512 6914264 10371396 11853024 13828528 20742792 27657056 41485584 82971168
- Sum of all divisors σ(n): 264757248
- Sum of proper divisors (its aliquot sum) s(n): 181786080
- 82971168 is an abundant number, because the sum of its proper divisors (181786080) is greater than itself. Its abundance is 98814912
Bases of 82971168
- Binary: 1001111001000001010001000002
- Hexadecimal: 0x4F20A20
- Base-36: 1DECYO
Squares and roots of 82971168
- 82971168 squared (829711682) is 6884214719284224
- 82971168 cubed (829711683) is 571191336021804189253632
-
The
square root of 82971168 is 9108.8510801307 -
The
cube root of 82971168 is 436.1565523715
Scales and comparisons
How big is 82971168?- 82,971,168 seconds is equal to 2 years, 33 weeks, 1 day, 7 hours, 32 minutes, 48 seconds.
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To count from 1 to 82,971,168 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 82971168 cubic inches would be around 36.3 feet tall.
Recreational maths with 82971168
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