42628800
42,628,800 is an even composite number composed of five prime numbers multiplied together.
42628800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred sixty-eight divisors.
Prime factorization of 42628800:
26 × 3 × 52 × 83 × 107
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 83 × 107)See below for interesting mathematical facts about the number 42628800 from the Numbermatics database.
Names of 42628800
- Cardinal: 42628800 can be written as Forty-two million, six hundred twenty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 4.26288 × 107
Factors of 42628800
Divisors of 42628800
- Number of divisors d(n): 168
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 83 96 100 107 120 150 160 166 192 200 214 240 249 300 320 321 332 400 415 428 480 498 535 600 642 664 800 830 856 960 996 1070 1200 1245 1284 1328 1600 1605 1660 1712 1992 2075 2140 2400 2490 2568 2656 2675 3210 3320 3424 3984 4150 4280 4800 4980 5136 5312 5350 6225 6420 6640 6848 7968 8025 8300 8560 8881 9960 10272 10700 12450 12840 13280 15936 16050 16600 17120 17762 19920 20544 21400 24900 25680 26560 26643 32100 33200 34240 35524 39840 42800 44405 49800 51360 53286 64200 66400 71048 79680 85600 88810 99600 102720 106572 128400 132800 133215 142096 171200 177620 199200 213144 222025 256800 266430 284192 355240 398400 426288 444050 513600 532860 568384 666075 710480 852576 888100 1065720 1332150 1420960 1705152 1776200 2131440 2664300 2841920 3552400 4262880 5328600 7104800 8525760 10657200 14209600 21314400 42628800
- Sum of all divisors σ(n): 142865856
- Sum of proper divisors (its aliquot sum) s(n): 100237056
- 42628800 is an abundant number, because the sum of its proper divisors (100237056) is greater than itself. Its abundance is 57608256
Bases of 42628800
- Binary: 101000101001110110110000002
- Hexadecimal: 0x28A76C0
- Base-36: PDOLC
Squares and roots of 42628800
- 42628800 squared (426288002) is 1817214589440000
- 42628800 cubed (426288003) is 77465677290319872000000
-
The
square root of 42628800 is 6529.0734411551 -
The
cube root of 42628800 is 349.3287816097
Scales and comparisons
How big is 42628800?- 42,628,800 seconds is equal to 1 year, 18 weeks, 3 days, 9 hours, 20 minutes.
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To count from 1 to 42,628,800 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 42628800 cubic inches would be around 29.1 feet tall.
Recreational maths with 42628800
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The information we have on file for 42628800 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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