53688

53,688 is an even composite number composed of three prime numbers multiplied together.

What does the number 53688 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 16 divisors.

53688 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of sixteen divisors.

Prime factorization of 53688:

23 × 3 × 2237

(2 × 2 × 2 × 3 × 2237)

See below for interesting mathematical facts about the number 53688 from the Numbermatics database.


Names of 53688

  • Cardinal: 53688 can be written as Fifty-three thousand, six hundred eighty-eight.

Scientific notation

  • Scientific notation: 5.3688 × 104

Factors of 53688

  • Number of distinct prime factors ω(n): 3
  • Total number of prime factors Ω(n): 5
  • Sum of prime factors: 2242

Divisors of 53688

  • Number of divisors d(n): 16
  • Complete list of divisors:
  • Sum of all divisors σ(n): 134280
  • Sum of proper divisors (its aliquot sum) s(n): 80592
  • 53688 is an abundant number, because the sum of its proper divisors (80592) is greater than itself. Its abundance is 26904

Bases of 53688

  • Binary: 11010001101110002
  • Hexadecimal: 0xD1B8
  • Base-36: 15FC

Squares and roots of 53688

  • 53688 squared (536882) is 2882401344
  • 53688 cubed (536883) is 154750363356672
  • The square root of 53688 is 231.7067111673
  • The cube root of 53688 is 37.7246954081

Scales and comparisons

How big is 53688?
  • 53,688 seconds is equal to 14 hours, 54 minutes, 48 seconds.
  • To count from 1 to 53,688 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 53688 cubic inches would be around 3.1 feet tall.

Recreational maths with 53688

  • 53688 backwards is 88635
  • The number of decimal digits it has is: 5
  • The sum of 53688's digits is 30
  • More coming soon!

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"Number 53688 - Facts about the integer". Numbermatics.com. 2024. Web. 24 April 2024.

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Numbermatics. (2024). Number 53688 - Facts about the integer. Retrieved 24 April 2024, from https://numbermatics.com/n/53688/

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Numbermatics. 2024. "Number 53688 - Facts about the integer". https://numbermatics.com/n/53688/

The information we have on file for 53688 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 53688, math, Factors of 53688, curriculum, school, college, exams, university, Prime factorization of 53688, STEM, science, technology, engineering, physics, economics, calculator, fifty-three thousand, six hundred eighty-eight.

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