38832

38,832 is an even composite number composed of three prime numbers multiplied together.

What does the number 38832 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 20 divisors.

38832 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty divisors.

Prime factorization of 38832:

2⁴ × 3 × 809

(2 × 2 × 2 × 2 × 3 × 809)

See below for interesting mathematical facts about the number 38832 from the Numbermatics database.

Names of 38832

Cardinal: 38832 can be written as Thirty-eight thousand, eight hundred thirty-two.

Scientific notation

Scientific notation: 3.8832 × 10⁴

Factors of 38832

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 6
Sum of prime factors: 814

Divisors of 38832

Number of divisors d(n): 20
Complete list of divisors:
1 2 3 4 6 8 12 16 24 48 809 1618 2427 3236 4854 6472 9708 12944 19416 38832
Sum of all divisors σ(n): 100440
Sum of proper divisors (its aliquot sum) s(n): 61608
38832 is an abundant number, because the sum of its proper divisors (61608) is greater than itself. Its abundance is 22776

Bases of 38832

Binary: 1001011110110000₂
Hexadecimal: 0x97B0
Base-36: TYO

Squares and roots of 38832

38832 squared (38832²) is 1507924224
38832 cubed (38832³) is 58555713466368
The square root of 38832 is 197.0583669879
The cube root of 38832 is 33.8633500241

Scales and comparisons

How big is 38832?

38,832 seconds is equal to 10 hours, 47 minutes, 12 seconds.
To count from 1 to 38,832 would take you about ten 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 38832 cubic inches would be around 2.8 feet tall.

Recreational maths with 38832

38832 backwards is 23883
38832 is a Harshad number.
The number of decimal digits it has is: 5
The sum of 38832's digits is 24
More coming soon!

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The information we have on file for 38832 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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