82993200
82,993,200 is an even composite number composed of six prime numbers multiplied together.
82993200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 82993200:
24 × 3 × 52 × 23 × 31 × 97
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 23 × 31 × 97)See below for interesting mathematical facts about the number 82993200 from the Numbermatics database.
Names of 82993200
- Cardinal: 82993200 can be written as Eighty-two million, nine hundred ninety-three thousand, two hundred.
Scientific notation
- Scientific notation: 8.29932 × 107
Factors of 82993200
Divisors of 82993200
- Number of divisors d(n): 240
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 23 24 25 30 31 40 46 48 50 60 62 69 75 80 92 93 97 100 115 120 124 138 150 155 184 186 194 200 230 240 248 276 291 300 310 345 368 372 388 400 460 465 485 496 552 575 582 600 620 690 713 744 775 776 920 930 970 1104 1150 1164 1200 1240 1380 1426 1455 1488 1550 1552 1725 1840 1860 1940 2139 2231 2300 2325 2328 2425 2480 2760 2852 2910 3007 3100 3450 3565 3720 3880 4278 4462 4600 4650 4656 4850 5520 5704 5820 6014 6200 6693 6900 7130 7275 7440 7760 8556 8924 9021 9200 9300 9700 10695 11155 11408 11640 12028 12400 13386 13800 14260 14550 15035 17112 17825 17848 18042 18600 19400 21390 22310 23280 24056 26772 27600 28520 29100 30070 33465 34224 35650 35696 36084 37200 38800 42780 44620 45105 48112 53475 53544 55775 57040 58200 60140 66930 69161 71300 72168 75175 85560 89240 90210 106950 107088 111550 116400 120280 133860 138322 142600 144336 150350 167325 171120 178480 180420 207483 213900 223100 225525 240560 267720 276644 285200 300700 334650 345805 360840 414966 427800 446200 451050 535440 553288 601400 669300 691610 721680 829932 855600 892400 902100 1037415 1106576 1202800 1338600 1383220 1659864 1729025 1804200 2074830 2677200 2766440 3319728 3458050 3608400 4149660 5187075 5532880 6916100 8299320 10374150 13832200 16598640 20748300 27664400 41496600 82993200
- Sum of all divisors σ(n): 289314816
- Sum of proper divisors (its aliquot sum) s(n): 206321616
- 82993200 is an abundant number, because the sum of its proper divisors (206321616) is greater than itself. Its abundance is 123328416
Bases of 82993200
- Binary: 1001111001001100000001100002
- Hexadecimal: 0x4F26030
- Base-36: 1DETYO
Squares and roots of 82993200
- 82993200 squared (829932002) is 6887871246240000
- 82993200 cubed (829932003) is 571646475913445568000000
-
The
square root of 82993200 is 9110.0603730161 -
The
cube root of 82993200 is 436.1951543379
Scales and comparisons
How big is 82993200?- 82,993,200 seconds is equal to 2 years, 33 weeks, 1 day, 13 hours, 40 minutes.
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To count from 1 to 82,993,200 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 82993200 cubic inches would be around 36.3 feet tall.
Recreational maths with 82993200
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