23648

23,648 is an even composite number composed of two prime numbers multiplied together.

What does the number 23648 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 12 divisors.

23648 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of twelve divisors.

Prime factorization of 23648:

25 × 739

(2 × 2 × 2 × 2 × 2 × 739)

See below for interesting mathematical facts about the number 23648 from the Numbermatics database.


Names of 23648

  • Cardinal: 23648 can be written as Twenty-three thousand, six hundred forty-eight.

Scientific notation

  • Scientific notation: 2.3648 × 104

Factors of 23648

  • Number of distinct prime factors ω(n): 2
  • Total number of prime factors Ω(n): 6
  • Sum of prime factors: 741

Divisors of 23648

  • Number of divisors d(n): 12
  • Complete list of divisors:
  • Sum of all divisors σ(n): 46620
  • Sum of proper divisors (its aliquot sum) s(n): 22972
  • 23648 is a deficient number, because the sum of its proper divisors (22972) is less than itself. Its deficiency is 676

Bases of 23648

  • Binary: 1011100011000002
  • Hexadecimal: 0x5C60
  • Base-36: I8W

Squares and roots of 23648

  • 23648 squared (236482) is 559227904
  • 23648 cubed (236483) is 13224621473792
  • The square root of 23648 is 153.7790622939
  • The cube root of 23648 is 28.7032763441

Scales and comparisons

How big is 23648?
  • 23,648 seconds is equal to 6 hours, 34 minutes, 8 seconds.
  • To count from 1 to 23,648 would take you about six 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 23648 cubic inches would be around 2.4 feet tall.

Recreational maths with 23648

  • 23648 backwards is 84632
  • The number of decimal digits it has is: 5
  • The sum of 23648's digits is 23
  • More coming soon!

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"Number 23648 - Facts about the integer". Numbermatics.com. 2024. Web. 29 March 2024.

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Numbermatics. (2024). Number 23648 - Facts about the integer. Retrieved 29 March 2024, from https://numbermatics.com/n/23648/

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Numbermatics. 2024. "Number 23648 - Facts about the integer". https://numbermatics.com/n/23648/

The information we have on file for 23648 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 23648, math, Factors of 23648, curriculum, school, college, exams, university, Prime factorization of 23648, STEM, science, technology, engineering, physics, economics, calculator, twenty-three thousand, six hundred forty-eight.

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