55648320
55,648,320 is an even composite number composed of five prime numbers multiplied together.
55648320 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 55648320:
26 × 3 × 5 × 73 × 132
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 7 × 13 × 13)See below for interesting mathematical facts about the number 55648320 from the Numbermatics database.
Names of 55648320
- Cardinal: 55648320 can be written as Fifty-five million, six hundred forty-eight thousand, three hundred twenty.
Scientific notation
- Scientific notation: 5.564832 × 107
Factors of 55648320
Divisors of 55648320
- Number of divisors d(n): 336
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 26 28 30 32 35 39 40 42 48 49 52 56 60 64 65 70 78 80 84 91 96 98 104 105 112 120 130 140 147 156 160 168 169 182 192 195 196 208 210 224 240 245 260 273 280 294 312 320 336 338 343 364 390 392 416 420 448 455 480 490 507 520 546 560 588 624 637 672 676 686 728 735 780 784 832 840 845 910 960 980 1014 1029 1040 1092 1120 1176 1183 1248 1274 1344 1352 1365 1372 1456 1470 1560 1568 1680 1690 1715 1820 1911 1960 2028 2058 2080 2184 2240 2352 2366 2496 2535 2548 2704 2730 2744 2912 2940 3120 3136 3185 3360 3380 3430 3549 3640 3822 3920 4056 4116 4160 4368 4459 4704 4732 5070 5096 5145 5408 5460 5488 5824 5880 5915 6240 6370 6720 6760 6860 7098 7280 7644 7840 8112 8232 8281 8736 8918 9408 9464 9555 10140 10192 10290 10816 10920 10976 11760 11830 12480 12740 13377 13520 13720 14196 14560 15288 15680 16224 16464 16562 17472 17745 17836 18928 19110 20280 20384 20580 21840 21952 22295 23520 23660 24843 25480 26754 27040 27440 28392 29120 30576 32448 32928 33124 35490 35672 37856 38220 40560 40768 41160 41405 43680 44590 47040 47320 49686 50960 53508 54080 54880 56784 57967 61152 65856 66248 66885 70980 71344 75712 76440 81120 82320 82810 87360 89180 94640 99372 101920 107016 109760 113568 115934 122304 124215 132496 133770 141960 142688 152880 162240 164640 165620 173901 178360 189280 198744 203840 214032 227136 231868 248430 264992 267540 283920 285376 289835 305760 329280 331240 347802 356720 378560 397488 428064 463736 496860 529984 535080 567840 579670 611520 662480 695604 713440 794976 856128 869505 927472 993720 1070160 1135680 1159340 1324960 1391208 1426880 1589952 1739010 1854944 1987440 2140320 2318680 2649920 2782416 3478020 3709888 3974880 4280640 4637360 5564832 6956040 7949760 9274720 11129664 13912080 18549440 27824160 55648320
- Sum of all divisors σ(n): 223113600
- Sum of proper divisors (its aliquot sum) s(n): 167465280
- 55648320 is an abundant number, because the sum of its proper divisors (167465280) is greater than itself. Its abundance is 111816960
Bases of 55648320
- Binary: 110101000100100000010000002
- Hexadecimal: 0x3512040
- Base-36: X4QIO
Squares and roots of 55648320
- 55648320 squared (556483202) is 3096735518822400
- 55648320 cubed (556483203) is 172328129106794938368000
-
The
square root of 55648320 is 7459.7801576187 -
The
cube root of 55648320 is 381.7836736489
Scales and comparisons
How big is 55648320?- 55,648,320 seconds is equal to 1 year, 40 weeks, 1 hour, 52 minutes.
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To count from 1 to 55,648,320 would take you about two 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 55648320 cubic inches would be around 31.8 feet tall.
Recreational maths with 55648320
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