47664

47,664 is an even composite number composed of three prime numbers multiplied together.

What does the number 47664 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 30 divisors.

47664 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of thirty divisors.

Prime factorization of 47664:

24 × 32 × 331

(2 × 2 × 2 × 2 × 3 × 3 × 331)

See below for interesting mathematical facts about the number 47664 from the Numbermatics database.


Names of 47664

  • Cardinal: 47664 can be written as Forty-seven thousand, six hundred sixty-four.

Scientific notation

  • Scientific notation: 4.7664 × 104

Factors of 47664

  • Number of distinct prime factors ω(n): 3
  • Total number of prime factors Ω(n): 7
  • Sum of prime factors: 336

Divisors of 47664

Bases of 47664

  • Binary: 10111010001100002
  • Hexadecimal: 0xBA30
  • Base-36: 10S0

Squares and roots of 47664

  • 47664 squared (476642) is 2271856896
  • 47664 cubed (476643) is 108285787090944
  • The square root of 47664 is 218.3208647841
  • The cube root of 47664 is 36.2574142583

Scales and comparisons

How big is 47664?
  • 47,664 seconds is equal to 13 hours, 14 minutes, 24 seconds.
  • To count from 1 to 47,664 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 47664 cubic inches would be around 3 feet tall.

Recreational maths with 47664

  • 47664 backwards is 46674
  • The number of decimal digits it has is: 5
  • The sum of 47664's digits is 27
  • More coming soon!

Copy this link to share with anyone:


Share this page on social media:

Link to this page

HTML: To link to this page, just copy and paste the link below into your blog, web page or email.

BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:

Cite this page

MLA style:
"Number 47664 - Facts about the integer". Numbermatics.com. 2024. Web. 29 March 2024.

APA style:
Numbermatics. (2024). Number 47664 - Facts about the integer. Retrieved 29 March 2024, from https://numbermatics.com/n/47664/

Chicago style:
Numbermatics. 2024. "Number 47664 - Facts about the integer". https://numbermatics.com/n/47664/

The information we have on file for 47664 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 47664, math, Factors of 47664, curriculum, school, college, exams, university, Prime factorization of 47664, STEM, science, technology, engineering, physics, economics, calculator, forty-seven thousand, six hundred sixty-four.

Oh no. Javascript is switched off in your browser.
Some bits of this website may not work unless you switch it on.