72828000
72,828,000 is an even composite number composed of five prime numbers multiplied together.
72828000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 72828000:
25 × 32 × 53 × 7 × 172
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 17 × 17)See below for interesting mathematical facts about the number 72828000 from the Numbermatics database.
Names of 72828000
- Cardinal: 72828000 can be written as Seventy-two million, eight hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 7.2828 × 107
Factors of 72828000
Divisors of 72828000
- Number of divisors d(n): 432
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 17 18 20 21 24 25 28 30 32 34 35 36 40 42 45 48 50 51 56 60 63 68 70 72 75 80 84 85 90 96 100 102 105 112 119 120 125 126 136 140 144 150 153 160 168 170 175 180 200 204 210 224 225 238 240 250 252 255 272 280 288 289 300 306 315 336 340 350 357 360 375 400 408 420 425 450 476 480 500 504 510 525 544 560 578 595 600 612 630 672 680 700 714 720 750 765 800 816 840 850 867 875 900 952 1000 1008 1020 1050 1071 1120 1125 1156 1190 1200 1224 1260 1275 1360 1400 1428 1440 1445 1500 1530 1575 1632 1680 1700 1734 1750 1785 1800 1904 2000 2016 2023 2040 2100 2125 2142 2250 2312 2380 2400 2448 2520 2550 2601 2625 2720 2800 2856 2890 2975 3000 3060 3150 3360 3400 3468 3500 3570 3600 3808 3825 4000 4046 4080 4200 4250 4284 4335 4500 4624 4760 4896 5040 5100 5202 5250 5355 5600 5712 5780 5950 6000 6069 6120 6300 6375 6800 6936 7000 7140 7200 7225 7650 7875 8092 8160 8400 8500 8568 8670 8925 9000 9248 9520 10080 10115 10200 10404 10500 10710 11424 11560 11900 12000 12138 12240 12600 12750 13005 13600 13872 14000 14280 14450 14875 15300 15750 16184 16800 17000 17136 17340 17850 18000 18207 19040 19125 20230 20400 20808 21000 21420 21675 23120 23800 24276 24480 25200 25500 26010 26775 27744 28000 28560 28900 29750 30345 30600 31500 32368 34000 34272 34680 35700 36000 36125 36414 38250 40460 40800 41616 42000 42840 43350 44625 46240 47600 48552 50400 50575 51000 52020 53550 57120 57800 59500 60690 61200 63000 64736 65025 68000 69360 71400 72250 72828 76500 80920 83232 84000 85680 86700 89250 91035 95200 97104 101150 102000 104040 107100 108375 115600 119000 121380 122400 126000 130050 133875 138720 142800 144500 145656 151725 153000 161840 171360 173400 178500 182070 194208 202300 204000 208080 214200 216750 231200 238000 242760 252000 252875 260100 267750 285600 289000 291312 303450 306000 323680 325125 346800 357000 364140 404600 416160 428400 433500 455175 476000 485520 505750 520200 535500 578000 582624 606900 612000 650250 693600 714000 728280 758625 809200 856800 867000 910350 971040 1011500 1040400 1071000 1156000 1213800 1300500 1428000 1456560 1517250 1618400 1734000 1820700 2023000 2080800 2142000 2275875 2427600 2601000 2913120 3034500 3468000 3641400 4046000 4284000 4551750 4855200 5202000 6069000 7282800 8092000 9103500 10404000 12138000 14565600 18207000 24276000 36414000 72828000
- Sum of all divisors σ(n): 313788384
- Sum of proper divisors (its aliquot sum) s(n): 240960384
- 72828000 is an abundant number, because the sum of its proper divisors (240960384) is greater than itself. Its abundance is 168132384
Bases of 72828000
- Binary: 1000101011101000100011000002
- Hexadecimal: 0x4574460
- Base-36: 17CYG0
Squares and roots of 72828000
- 72828000 squared (728280002) is 5303917584000000
- 72828000 cubed (728280003) is 386273709807552000000000
-
The
square root of 72828000 is 8533.9322706475 -
The
cube root of 72828000 is 417.6054211653
Scales and comparisons
How big is 72828000?- 72,828,000 seconds is equal to 2 years, 16 weeks, 2 days, 22 hours.
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To count from 1 to 72,828,000 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 72828000 cubic inches would be around 34.8 feet tall.
Recreational maths with 72828000
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