53824

53,824 is an even composite number composed of two prime numbers multiplied together.

What does the number 53824 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 21 divisors.

53824 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of twenty-one divisors.

Prime factorization of 53824:

2⁶ × 29²

(2 × 2 × 2 × 2 × 2 × 2 × 29 × 29)

See below for interesting mathematical facts about the number 53824 from the Numbermatics database.

Names of 53824

Cardinal: 53824 can be written as Fifty-three thousand, eight hundred twenty-four.

Scientific notation

Scientific notation: 5.3824 × 10⁴

Factors of 53824

Number of distinct prime factors ω(n): 2
Total number of prime factors Ω(n): 8
Sum of prime factors: 31

Divisors of 53824

Number of divisors d(n): 21
Complete list of divisors:
1 2 4 8 16 29 32 58 64 116 232 464 841 928 1682 1856 3364 6728 13456 26912 53824
Sum of all divisors σ(n): 110617
Sum of proper divisors (its aliquot sum) s(n): 56793
53824 is an abundant number, because the sum of its proper divisors (56793) is greater than itself. Its abundance is 2969

Bases of 53824

Binary: 1101001001000000₂
Hexadecimal: 0xD240
Base-36: 15J4

Squares and roots of 53824

53824 squared (53824²) is 2897022976
53824 cubed (53824³) is 155929364660224
53824 is a perfect square number. Its square root is 232
The cube root of 53824 is 37.7565227095

Scales and comparisons

How big is 53824?

53,824 seconds is equal to 14 hours, 57 minutes, 4 seconds.
To count from 1 to 53,824 would take you about fourteen 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 53824 cubic inches would be around 3.1 feet tall.

Recreational maths with 53824

53824 backwards is 42835
The number of decimal digits it has is: 5
The sum of 53824's digits is 22
More coming soon!

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The information we have on file for 53824 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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