5005728
5,005,728 is an even composite number composed of five prime numbers multiplied together.
5005728 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 5005728:
25 × 32 × 7 × 13 × 191
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 13 × 191)See below for interesting mathematical facts about the number 5005728 from the Numbermatics database.
Names of 5005728
- Cardinal: 5005728 can be written as Five million, five thousand, seven hundred twenty-eight.
Scientific notation
- Scientific notation: 5.005728 × 106
Factors of 5005728
Divisors of 5005728
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 52 56 63 72 78 84 91 96 104 112 117 126 144 156 168 182 191 208 224 234 252 273 288 312 336 364 382 416 468 504 546 573 624 672 728 764 819 936 1008 1092 1146 1248 1337 1456 1528 1638 1719 1872 2016 2184 2292 2483 2674 2912 3056 3276 3438 3744 4011 4368 4584 4966 5348 6112 6552 6876 7449 8022 8736 9168 9932 10696 12033 13104 13752 14898 16044 17381 18336 19864 21392 22347 24066 26208 27504 29796 32088 34762 39728 42784 44694 48132 52143 55008 59592 64176 69524 79456 89388 96264 104286 119184 128352 139048 156429 178776 192528 208572 238368 278096 312858 357552 385056 417144 556192 625716 715104 834288 1251432 1668576 2502864 5005728
- Sum of all divisors σ(n): 17611776
- Sum of proper divisors (its aliquot sum) s(n): 12606048
- 5005728 is an abundant number, because the sum of its proper divisors (12606048) is greater than itself. Its abundance is 7600320
Bases of 5005728
- Binary: 100110001100001101000002
- Hexadecimal: 0x4C61A0
- Base-36: 2ZAG0
Squares and roots of 5005728
- 5005728 squared (50057282) is 25057312809984
- 5005728 cubed (50057283) is 125430092337695588352
-
The
square root of 5005728 is 2237.3484306203 -
The
cube root of 5005728 is 171.0628680297
Scales and comparisons
How big is 5005728?- 5,005,728 seconds is equal to 8 weeks, 1 day, 22 hours, 28 minutes, 48 seconds.
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To count from 1 to 5,005,728 would take you about twelve weeks!
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 5005728 cubic inches would be around 14.3 feet tall.
Recreational maths with 5005728
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The information we have on file for 5005728 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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