48072

48,072 is an even composite number composed of three prime numbers multiplied together.

What does the number 48072 look like?

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

48072 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 48072:

23 × 3 × 2003

(2 × 2 × 2 × 3 × 2003)

See below for interesting mathematical facts about the number 48072 from the Numbermatics database.


Names of 48072

  • Cardinal: 48072 can be written as Forty-eight thousand and seventy-two.

Scientific notation

  • Scientific notation: 4.8072 × 104

Factors of 48072

  • Number of distinct prime factors ω(n): 3
  • Total number of prime factors Ω(n): 5
  • Sum of prime factors: 2008

Divisors of 48072

  • Number of divisors d(n): 16
  • Complete list of divisors:
  • Sum of all divisors σ(n): 120240
  • Sum of proper divisors (its aliquot sum) s(n): 72168
  • 48072 is an abundant number, because the sum of its proper divisors (72168) is greater than itself. Its abundance is 24096

Bases of 48072

  • Binary: 10111011110010002
  • Hexadecimal: 0xBBC8
  • Base-36: 113C

Squares and roots of 48072

  • 48072 squared (480722) is 2310917184
  • 48072 cubed (480723) is 111090410869248
  • The square root of 48072 is 219.2532781967
  • The cube root of 48072 is 36.3605739843

Scales and comparisons

How big is 48072?
  • 48,072 seconds is equal to 13 hours, 21 minutes, 12 seconds.
  • To count from 1 to 48,072 would take you about thirteen 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 48072 cubic inches would be around 3 feet tall.

Recreational maths with 48072

  • 48072 backwards is 27084
  • The number of decimal digits it has is: 5
  • The sum of 48072's digits is 21
  • More coming soon!

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"Number 48072 - Facts about the integer". Numbermatics.com. 2024. Web. 29 March 2024.

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Numbermatics. (2024). Number 48072 - Facts about the integer. Retrieved 29 March 2024, from https://numbermatics.com/n/48072/

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Numbermatics. 2024. "Number 48072 - Facts about the integer". https://numbermatics.com/n/48072/

The information we have on file for 48072 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 48072, math, Factors of 48072, curriculum, school, college, exams, university, Prime factorization of 48072, STEM, science, technology, engineering, physics, economics, calculator, forty-eight thousand and seventy-two.

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