42478920
42,478,920 is an even composite number composed of six prime numbers multiplied together.
42478920 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 42478920:
23 × 32 × 5 × 11 × 17 × 631
(2 × 2 × 2 × 3 × 3 × 5 × 11 × 17 × 631)See below for interesting mathematical facts about the number 42478920 from the Numbermatics database.
Names of 42478920
- Cardinal: 42478920 can be written as Forty-two million, four hundred seventy-eight thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 4.247892 × 107
Factors of 42478920
Divisors of 42478920
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 17 18 20 22 24 30 33 34 36 40 44 45 51 55 60 66 68 72 85 88 90 99 102 110 120 132 136 153 165 170 180 187 198 204 220 255 264 306 330 340 360 374 396 408 440 495 510 561 612 631 660 680 748 765 792 935 990 1020 1122 1224 1262 1320 1496 1530 1683 1870 1893 1980 2040 2244 2524 2805 3060 3155 3366 3740 3786 3960 4488 5048 5610 5679 6120 6310 6732 6941 7480 7572 8415 9465 10727 11220 11358 12620 13464 13882 15144 16830 18930 20823 21454 22440 22716 25240 27764 28395 32181 33660 34705 37860 41646 42908 45432 53635 55528 56790 62469 64362 67320 69410 75720 83292 85816 96543 104115 107270 113580 117997 124938 128724 138820 160905 166584 193086 208230 214540 227160 235994 249876 257448 277640 312345 321810 353991 386172 416460 429080 471988 482715 499752 589985 624690 643620 707982 772344 832920 943976 965430 1061973 1179970 1249380 1287240 1415964 1769955 1930860 2123946 2359940 2498760 2831928 3539910 3861720 4247892 4719880 5309865 7079820 8495784 10619730 14159640 21239460 42478920
- Sum of all divisors σ(n): 159719040
- Sum of proper divisors (its aliquot sum) s(n): 117240120
- 42478920 is an abundant number, because the sum of its proper divisors (117240120) is greater than itself. Its abundance is 74761200
Bases of 42478920
- Binary: 101000100000101101010010002
- Hexadecimal: 0x2882D48
- Base-36: PAGY0
Squares and roots of 42478920
- 42478920 squared (424789202) is 1804458644366400
- 42478920 cubed (424789203) is 76651454397348756288000
-
The
square root of 42478920 is 6517.5854424779 -
The
cube root of 42478920 is 348.9188953385
Scales and comparisons
How big is 42478920?- 42,478,920 seconds is equal to 1 year, 18 weeks, 1 day, 15 hours, 42 minutes.
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To count from 1 to 42,478,920 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 42478920 cubic inches would be around 29.1 feet tall.
Recreational maths with 42478920
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