45632

45,632 is an even composite number composed of three prime numbers multiplied together.

What does the number 45632 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 28 divisors.

45632 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty-eight divisors.

Prime factorization of 45632:

2⁶ × 23 × 31

(2 × 2 × 2 × 2 × 2 × 2 × 23 × 31)

See below for interesting mathematical facts about the number 45632 from the Numbermatics database.

Names of 45632

Cardinal: 45632 can be written as Forty-five thousand, six hundred thirty-two.

Scientific notation

Scientific notation: 4.5632 × 10⁴

Factors of 45632

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 8
Sum of prime factors: 56

Divisors of 45632

Number of divisors d(n): 28
Complete list of divisors:
1 2 4 8 16 23 31 32 46 62 64 92 124 184 248 368 496 713 736 992 1426 1472 1984 2852 5704 11408 22816 45632
Sum of all divisors σ(n): 97536
Sum of proper divisors (its aliquot sum) s(n): 51904
45632 is an abundant number, because the sum of its proper divisors (51904) is greater than itself. Its abundance is 6272

Bases of 45632

Binary: 1011001001000000₂
Hexadecimal: 0xB240
Base-36: Z7K

Squares and roots of 45632

45632 squared (45632²) is 2082279424
45632 cubed (45632³) is 95018574675968
The square root of 45632 is 213.6164787651
The cube root of 45632 is 35.7346748339

Scales and comparisons

How big is 45632?

45,632 seconds is equal to 12 hours, 40 minutes, 32 seconds.
To count from 1 to 45,632 would take you about twelve hours.

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 45632 cubic inches would be around 3 feet tall.

Recreational maths with 45632

45632 backwards is 23654
The number of decimal digits it has is: 5
The sum of 45632's digits is 20
More coming soon!

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The information we have on file for 45632 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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