3968800
3,968,800 is an even composite number composed of four prime numbers multiplied together.
3968800 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred eight divisors.
Prime factorization of 3968800:
25 × 52 × 112 × 41
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 11 × 11 × 41)See below for interesting mathematical facts about the number 3968800 from the Numbermatics database.
Names of 3968800
- Cardinal: 3968800 can be written as Three million, nine hundred sixty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 3.9688 × 106
Factors of 3968800
Divisors of 3968800
- Number of divisors d(n): 108
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Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 25 32 40 41 44 50 55 80 82 88 100 110 121 160 164 176 200 205 220 242 275 328 352 400 410 440 451 484 550 605 656 800 820 880 902 968 1025 1100 1210 1312 1640 1760 1804 1936 2050 2200 2255 2420 3025 3280 3608 3872 4100 4400 4510 4840 4961 6050 6560 7216 8200 8800 9020 9680 9922 11275 12100 14432 16400 18040 19360 19844 22550 24200 24805 32800 36080 39688 45100 48400 49610 72160 79376 90200 96800 99220 124025 158752 180400 198440 248050 360800 396880 496100 793760 992200 1984400 3968800
- Sum of all divisors σ(n): 10909458
- Sum of proper divisors (its aliquot sum) s(n): 6940658
- 3968800 is an abundant number, because the sum of its proper divisors (6940658) is greater than itself. Its abundance is 2971858
Bases of 3968800
- Binary: 11110010001111001000002
- Hexadecimal: 0x3C8F20
- Base-36: 2D2CG
Squares and roots of 3968800
- 3968800 squared (39688002) is 15751373440000
- 3968800 cubed (39688003) is 62514050908672000000
-
The
square root of 3968800 is 1992.1847303903 -
The
cube root of 3968800 is 158.3263031659
Scales and comparisons
How big is 3968800?- 3,968,800 seconds is equal to 6 weeks, 3 days, 22 hours, 26 minutes, 40 seconds.
-
To count from 1 to 3,968,800 would take you about nine 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 3968800 cubic inches would be around 13.2 feet tall.
Recreational maths with 3968800
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The information we have on file for 3968800 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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