2048
2,048 is an even composite number. It is composed of a single prime number multiplied by itself ten times.
2048 is an even composite number. It is composed of one distinct prime number multiplied by itself ten times. It has a total of twelve divisors.
Prime factorization of 2048:
2^{11}
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2)See below for interesting mathematical facts about the number 2048 from the Numbermatics database.
Names of 2048
 Cardinal: 2048 can be written as Two thousand and fortyeight.
Scientific notation
 Scientific notation: 2.048 × 10^{3}
Factors of 2048
Divisors of 2048
Bases of 2048
 Binary: 100000000000_{2}
 Hexadecimal: 0x800
 Base36: 1KW
Squares and roots of 2048
 2048 squared (2048^{2}) is 4194304
 2048 cubed (2048^{3}) is 8589934592

The
square root of 2048 is 45.2548339959 
The
cube root of 2048 is 12.6992084155
Scales and comparisons
How big is 2048? 2,048 seconds is equal to 34 minutes, 8 seconds.

To count from 1 to 2,048 would take you about thirtyfour minutes.
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 randomlychosen 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 2048 cubic inches would be around 1.1 feet tall.
Recreational maths with 2048
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The information we have on file for 2048 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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