82323648
82,323,648 is an even composite number composed of five prime numbers multiplied together.
82323648 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 82323648:
26 × 33 × 11 × 61 × 71
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 11 × 61 × 71)See below for interesting mathematical facts about the number 82323648 from the Numbermatics database.
Names of 82323648
- Cardinal: 82323648 can be written as Eighty-two million, three hundred twenty-three thousand, six hundred forty-eight.
Scientific notation
- Scientific notation: 8.2323648 × 107
Factors of 82323648
Divisors of 82323648
- Number of divisors d(n): 224
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Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 61 64 66 71 72 88 96 99 108 122 132 142 144 176 183 192 198 213 216 244 264 284 288 297 352 366 396 426 432 488 528 549 568 576 594 639 671 704 732 781 792 852 864 976 1056 1098 1136 1188 1278 1342 1464 1562 1584 1647 1704 1728 1917 1952 2013 2112 2196 2272 2343 2376 2556 2684 2928 3124 3168 3294 3408 3834 3904 4026 4331 4392 4544 4686 4752 5112 5368 5856 6039 6248 6336 6588 6816 7029 7668 8052 8662 8784 9372 9504 10224 10736 11712 12078 12496 12993 13176 13632 14058 15336 16104 17324 17568 18117 18744 19008 20448 21087 21472 24156 24992 25986 26352 28116 30672 32208 34648 35136 36234 37488 38979 40896 42174 42944 47641 48312 49984 51972 52704 56232 61344 64416 69296 72468 74976 77958 84348 95282 96624 103944 105408 112464 116937 122688 128832 138592 142923 144936 149952 155916 168696 190564 193248 207888 224928 233874 277184 285846 289872 311832 337392 381128 386496 415776 428769 449856 467748 571692 579744 623664 674784 762256 831552 857538 935496 1143384 1159488 1247328 1286307 1349568 1524512 1715076 1870992 2286768 2494656 2572614 3049024 3430152 3741984 4573536 5145228 6860304 7483968 9147072 10290456 13720608 20580912 27441216 41161824 82323648
- Sum of all divisors σ(n): 272125440
- Sum of proper divisors (its aliquot sum) s(n): 189801792
- 82323648 is an abundant number, because the sum of its proper divisors (189801792) is greater than itself. Its abundance is 107478144
Bases of 82323648
- Binary: 1001110100000101000110000002
- Hexadecimal: 0x4E828C0
- Base-36: 1D0HC0
Squares and roots of 82323648
- 82323648 squared (823236482) is 6777183020027904
- 82323648 cubed (823236483) is 557922429372354119073792
-
The
square root of 82323648 is 9073.2380107655 -
The
cube root of 82323648 is 435.0189765799
Scales and comparisons
How big is 82323648?- 82,323,648 seconds is equal to 2 years, 32 weeks, 19 hours, 40 minutes, 48 seconds.
-
To count from 1 to 82,323,648 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 82323648 cubic inches would be around 36.3 feet tall.
Recreational maths with 82323648
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