45048960
45,048,960 is an even composite number composed of five prime numbers multiplied together.
45048960 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 45048960:
27 × 34 × 5 × 11 × 79
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 11 × 79)See below for interesting mathematical facts about the number 45048960 from the Numbermatics database.
Names of 45048960
- Cardinal: 45048960 can be written as Forty-five million, forty-eight thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 4.504896 × 107
Factors of 45048960
Divisors of 45048960
- Number of divisors d(n): 320
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 32 33 36 40 44 45 48 54 55 60 64 66 72 79 80 81 88 90 96 99 108 110 120 128 132 135 144 158 160 162 165 176 180 192 198 216 220 237 240 264 270 288 297 316 320 324 330 352 360 384 395 396 405 432 440 474 480 495 528 540 576 594 632 640 648 660 704 711 720 790 792 810 864 869 880 891 948 960 990 1056 1080 1152 1185 1188 1264 1296 1320 1408 1422 1440 1485 1580 1584 1620 1728 1738 1760 1782 1896 1920 1980 2112 2133 2160 2370 2376 2528 2592 2607 2640 2844 2880 2970 3160 3168 3240 3456 3476 3520 3555 3564 3792 3960 4224 4266 4320 4345 4455 4740 4752 5056 5184 5214 5280 5688 5760 5940 6320 6336 6399 6480 6952 7040 7110 7128 7584 7821 7920 8532 8640 8690 8910 9480 9504 10112 10368 10428 10560 10665 11376 11880 12640 12672 12798 12960 13035 13904 14220 14256 15168 15642 15840 17064 17280 17380 17820 18960 19008 20856 21120 21330 22752 23463 23760 25280 25596 25920 26070 27808 28440 28512 30336 31284 31680 31995 34128 34760 35640 37920 38016 39105 41712 42660 45504 46926 47520 50560 51192 51840 52140 55616 56880 57024 62568 63360 63990 68256 69520 70389 71280 75840 78210 83424 85320 91008 93852 95040 102384 104280 111232 113760 114048 117315 125136 127980 136512 139040 140778 142560 151680 156420 166848 170640 187704 190080 204768 208560 227520 234630 250272 255960 273024 278080 281556 285120 312840 333696 341280 351945 375408 409536 417120 455040 469260 500544 511920 556160 563112 570240 625680 682560 703890 750816 819072 834240 938520 1001088 1023840 1126224 1251360 1365120 1407780 1501632 1668480 1877040 2047680 2252448 2502720 2815560 3003264 3754080 4095360 4504896 5005440 5631120 7508160 9009792 11262240 15016320 22524480 45048960
- Sum of all divisors σ(n): 177724800
- Sum of proper divisors (its aliquot sum) s(n): 132675840
- 45048960 is an abundant number, because the sum of its proper divisors (132675840) is greater than itself. Its abundance is 87626880
Bases of 45048960
- Binary: 101010111101100100100000002
- Hexadecimal: 0x2AF6480
- Base-36: QTK00
Squares and roots of 45048960
- 45048960 squared (450489602) is 2029408797081600
- 45048960 cubed (450489603) is 91422755723377115136000
-
The
square root of 45048960 is 6711.8522033787 -
The
cube root of 45048960 is 355.8182803583
Scales and comparisons
How big is 45048960?- 45,048,960 seconds is equal to 1 year, 22 weeks, 3 days, 9 hours, 36 minutes.
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To count from 1 to 45,048,960 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 45048960 cubic inches would be around 29.7 feet tall.
Recreational maths with 45048960
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