85285200
85,285,200 is an even composite number composed of seven prime numbers multiplied together.
85285200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 85285200:
24 × 3 × 52 × 7 × 11 × 13 × 71
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 11 × 13 × 71)See below for interesting mathematical facts about the number 85285200 from the Numbermatics database.
Names of 85285200
- Cardinal: 85285200 can be written as Eighty-five million, two hundred eighty-five thousand, two hundred.
Scientific notation
- Scientific notation: 8.52852 × 107
Factors of 85285200
Divisors of 85285200
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 13 14 15 16 20 21 22 24 25 26 28 30 33 35 39 40 42 44 48 50 52 55 56 60 65 66 70 71 75 77 78 80 84 88 91 100 104 105 110 112 120 130 132 140 142 143 150 154 156 165 168 175 176 182 195 200 208 210 213 220 231 240 260 264 273 275 280 284 286 300 308 312 325 330 336 350 355 364 385 390 400 420 426 429 440 455 462 497 520 525 528 546 550 560 568 572 600 616 624 650 660 700 710 715 728 770 780 781 825 840 852 858 880 910 923 924 975 994 1001 1040 1050 1065 1092 1100 1136 1144 1155 1200 1232 1300 1320 1365 1400 1420 1430 1456 1491 1540 1560 1562 1650 1680 1704 1716 1775 1820 1846 1848 1925 1950 1988 2002 2100 2130 2145 2184 2200 2275 2288 2310 2343 2485 2600 2640 2730 2769 2800 2840 2860 2982 3003 3080 3120 3124 3300 3408 3432 3550 3575 3640 3692 3696 3850 3900 3905 3976 4004 4200 4260 4290 4368 4400 4550 4615 4620 4686 4970 5005 5200 5325 5460 5467 5538 5680 5720 5775 5964 6006 6160 6248 6461 6600 6825 6864 7100 7150 7280 7384 7455 7700 7800 7810 7952 8008 8400 8520 8580 9100 9230 9240 9372 9940 10010 10153 10650 10725 10920 10934 11076 11440 11550 11715 11928 12012 12425 12496 12922 13200 13650 13845 14200 14300 14768 14910 15015 15400 15600 15620 16016 16401 17040 17160 18200 18460 18480 18744 19383 19525 19880 20020 20306 21300 21450 21840 21868 22152 23075 23100 23430 23856 24024 24850 25025 25844 27300 27335 27690 28400 28600 29820 30030 30459 30800 31240 32305 32802 34320 36400 36920 37275 37488 38766 39050 39760 40040 40612 42600 42900 43736 44304 46150 46200 46860 48048 49700 50050 50765 51688 54600 54670 55380 57200 58575 59640 60060 60918 62480 64610 65604 69225 71071 73840 74550 75075 77532 78100 80080 81224 82005 85200 85800 87472 92300 92400 93720 96915 99400 100100 101530 103376 109200 109340 110760 117150 119280 120120 121836 129220 131208 136675 138450 142142 149100 150150 152295 155064 156200 161525 162448 164010 171600 184600 187440 193830 198800 200200 203060 213213 218680 221520 234300 240240 243672 253825 258440 262416 273350 276900 284284 298200 300300 304590 310128 312400 323050 328020 355355 369200 387660 400400 406120 410025 426426 437360 468600 484575 487344 507650 516880 546700 553800 568568 596400 600600 609180 646100 656040 710710 761475 775320 812240 820050 852852 937200 969150 1015300 1066065 1093400 1107600 1137136 1201200 1218360 1292200 1312080 1421420 1522950 1550640 1640100 1705704 1776775 1938300 2030600 2132130 2186800 2436720 2584400 2842840 3045900 3280200 3411408 3553550 3876600 4061200 4264260 5330325 5685680 6091800 6560400 7107100 7753200 8528520 10660650 12183600 14214200 17057040 21321300 28428400 42642600 85285200
- Sum of all divisors σ(n): 371976192
- Sum of proper divisors (its aliquot sum) s(n): 286690992
- 85285200 is an abundant number, because the sum of its proper divisors (286690992) is greater than itself. Its abundance is 201405792
Bases of 85285200
- Binary: 1010001010101011001010100002
- Hexadecimal: 0x5155950
- Base-36: 1ERYHC
Squares and roots of 85285200
- 85285200 squared (852852002) is 7273565339040000
- 85285200 cubed (852852003) is 620327474653094208000000
-
The
square root of 85285200 is 9234.9986464537 -
The
cube root of 85285200 is 440.1741734689
Scales and comparisons
How big is 85285200?- 85,285,200 seconds is equal to 2 years, 37 weeks, 2 hours, 20 minutes.
-
To count from 1 to 85,285,200 would take you about four 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 85285200 cubic inches would be around 36.7 feet tall.
Recreational maths with 85285200
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