55978560
55,978,560 is an even composite number composed of six prime numbers multiplied together.
55978560 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 55978560:
26 × 33 × 5 × 11 × 19 × 31
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 11 × 19 × 31)See below for interesting mathematical facts about the number 55978560 from the Numbermatics database.
Names of 55978560
- Cardinal: 55978560 can be written as Fifty-five million, nine hundred seventy-eight thousand, five hundred sixty.
Scientific notation
- Scientific notation: 5.597856 × 107
Factors of 55978560
Divisors of 55978560
- Number of divisors d(n): 448
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 19 20 22 24 27 30 31 32 33 36 38 40 44 45 48 54 55 57 60 62 64 66 72 76 80 88 90 93 95 96 99 108 110 114 120 124 132 135 144 152 155 160 165 171 176 180 186 190 192 198 209 216 220 228 240 248 264 270 279 285 288 297 304 310 320 330 341 342 352 360 372 380 396 418 432 440 456 465 480 495 496 513 528 540 558 570 576 589 594 608 620 627 660 682 684 704 720 744 760 792 836 837 855 864 880 912 930 960 990 992 1023 1026 1045 1056 1080 1116 1140 1178 1188 1216 1240 1254 1320 1364 1368 1395 1440 1485 1488 1520 1584 1672 1674 1705 1710 1728 1760 1767 1824 1860 1881 1980 1984 2046 2052 2090 2112 2160 2232 2280 2356 2376 2480 2508 2565 2640 2728 2736 2790 2880 2945 2970 2976 3040 3069 3135 3168 3344 3348 3410 3420 3520 3534 3648 3720 3762 3960 4092 4104 4180 4185 4320 4464 4560 4712 4752 4960 5016 5115 5130 5280 5301 5456 5472 5580 5643 5890 5940 5952 6080 6138 6270 6336 6479 6688 6696 6820 6840 7068 7440 7524 7920 8184 8208 8360 8370 8640 8835 8928 9120 9207 9405 9424 9504 9920 10032 10230 10260 10560 10602 10912 10944 11160 11286 11780 11880 12276 12540 12958 13376 13392 13640 13680 14136 14880 15048 15345 15840 15903 16368 16416 16720 16740 17670 17856 18240 18414 18810 18848 19008 19437 20064 20460 20520 21204 21824 22320 22572 23560 23760 24552 25080 25916 26505 26784 27280 27360 28215 28272 29760 30096 30690 31680 31806 32395 32736 32832 33440 33480 35340 36828 37620 37696 38874 40128 40920 41040 42408 44640 45144 46035 47120 47520 49104 50160 51832 53010 53568 54560 54720 56430 56544 58311 60192 61380 63612 64790 65472 66880 66960 70680 73656 75240 77748 79515 81840 82080 84816 89280 90288 92070 94240 95040 97185 98208 100320 103664 106020 109120 112860 113088 116622 120384 122760 127224 129580 133920 141360 147312 150480 155496 159030 163680 164160 169632 174933 180576 184140 188480 194370 196416 200640 207328 212040 225720 233244 245520 254448 259160 267840 282720 291555 294624 300960 310992 318060 327360 339264 349866 361152 368280 388740 414656 424080 451440 466488 491040 508896 518320 565440 583110 589248 601920 621984 636120 699732 736560 777480 848160 874665 902880 932976 982080 1017792 1036640 1166220 1243968 1272240 1399464 1473120 1554960 1696320 1749330 1805760 1865952 2073280 2332440 2544480 2798928 2946240 3109920 3498660 3731904 4664880 5088960 5597856 6219840 6997320 9329760 11195712 13994640 18659520 27989280 55978560
- Sum of all divisors σ(n): 234086400
- Sum of proper divisors (its aliquot sum) s(n): 178107840
- 55978560 is an abundant number, because the sum of its proper divisors (178107840) is greater than itself. Its abundance is 122129280
Bases of 55978560
- Binary: 110101011000101010010000002
- Hexadecimal: 0x3562A40
- Base-36: XBTC0
Squares and roots of 55978560
- 55978560 squared (559785602) is 3133599179673600
- 55978560 cubed (559785603) is 175414369695309398016000
-
The
square root of 55978560 is 7481.8821161523 -
The
cube root of 55978560 is 382.5374050311
Scales and comparisons
How big is 55978560?- 55,978,560 seconds is equal to 1 year, 40 weeks, 3 days, 21 hours, 36 minutes.
-
To count from 1 to 55,978,560 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 55978560 cubic inches would be around 31.9 feet tall.
Recreational maths with 55978560
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