# 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:
• 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
• 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!

MLA style:
"Number 53824 - Facts about the integer". Numbermatics.com. 2023. Web. 22 March 2023.

APA style:
Numbermatics. (2023). Number 53824 - Facts about the integer. Retrieved 22 March 2023, from https://numbermatics.com/n/53824/

Chicago style:
Numbermatics. 2023. "Number 53824 - Facts about the integer". https://numbermatics.com/n/53824/

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!

Keywords: Divisors of 53824, math, Factors of 53824, curriculum, school, college, exams, university, Prime factorization of 53824, STEM, science, technology, engineering, physics, economics, calculator, fifty-three thousand, eight hundred twenty-four.

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