40648728
40,648,728 is an even composite number composed of five prime numbers multiplied together.
40648728 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of sixty-four divisors.
Prime factorization of 40648728:
23 × 3 × 23 × 211 × 349
(2 × 2 × 2 × 3 × 23 × 211 × 349)See below for interesting mathematical facts about the number 40648728 from the Numbermatics database.
Names of 40648728
- Cardinal: 40648728 can be written as Forty million, six hundred forty-eight thousand, seven hundred twenty-eight.
Scientific notation
- Scientific notation: 4.0648728 × 107
Factors of 40648728
Divisors of 40648728
- Number of divisors d(n): 64
-
Complete list of divisors:
1 2 3 4 6 8 12 23 24 46 69 92 138 184 211 276 349 422 552 633 698 844 1047 1266 1396 1688 2094 2532 2792 4188 4853 5064 8027 8376 9706 14559 16054 19412 24081 29118 32108 38824 48162 58236 64216 73639 96324 116472 147278 192648 220917 294556 441834 589112 883668 1693697 1767336 3387394 5081091 6774788 10162182 13549576 20324364 40648728
- Sum of all divisors σ(n): 106848000
- Sum of proper divisors (its aliquot sum) s(n): 66199272
- 40648728 is an abundant number, because the sum of its proper divisors (66199272) is greater than itself. Its abundance is 25550544
Bases of 40648728
- Binary: 100110110001000000000110002
- Hexadecimal: 0x26C4018
- Base-36: O78RC
Squares and roots of 40648728
- 40648728 squared (406487282) is 1652319088017984
- 40648728 cubed (406487283) is 67164669178051090724352
-
The
square root of 40648728 is 6375.6354977367 -
The
cube root of 40648728 is 343.8341322225
Scales and comparisons
How big is 40648728?- 40,648,728 seconds is equal to 1 year, 15 weeks, 1 day, 11 hours, 18 minutes, 48 seconds.
-
To count from 1 to 40,648,728 would take you about forty-eight 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 40648728 cubic inches would be around 28.7 feet tall.
Recreational maths with 40648728
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