63948

63,948 is an even composite number composed of three prime numbers multiplied together.

What does the number 63948 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 18 divisors.

63948 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of eighteen divisors.

Prime factorization of 63948:

2² × 3 × 73²

(2 × 2 × 3 × 73 × 73)

See below for interesting mathematical facts about the number 63948 from the Numbermatics database.

Names of 63948

Cardinal: 63948 can be written as Sixty-three thousand, nine hundred forty-eight.

Scientific notation

Scientific notation: 6.3948 × 10⁴

Factors of 63948

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 5
Sum of prime factors: 78

Divisors of 63948

Number of divisors d(n): 18
Complete list of divisors:
1 2 3 4 6 12 73 146 219 292 438 876 5329 10658 15987 21316 31974 63948
Sum of all divisors σ(n): 151284
Sum of proper divisors (its aliquot sum) s(n): 87336
63948 is an abundant number, because the sum of its proper divisors (87336) is greater than itself. Its abundance is 23388

Bases of 63948

Binary: 1111100111001100₂
Hexadecimal: 0xF9CC
Base-36: 1DCC

Squares and roots of 63948

63948 squared (63948²) is 4089346704
63948 cubed (63948³) is 261505543027392
The square root of 63948 is 252.8794179051
The cube root of 63948 is 39.9891637313

Scales and comparisons

How big is 63948?

63,948 seconds is equal to 17 hours, 45 minutes, 48 seconds.
To count from 1 to 63,948 would take you about seventeen 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 63948 cubic inches would be around 3.3 feet tall.

Recreational maths with 63948

63948 backwards is 84936
The number of decimal digits it has is: 5
The sum of 63948's digits is 30
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.

<a href="https://numbermatics.com/n/63948/?utm_source=shared">Number 63948 - Facts about the integer</a>

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

[url=https://numbermatics.com/n/63948/?utm_source=shared]Number 63948 - Facts about the integer[/url]

Cite this page

MLA style:
"Number 63948 - Facts about the integer". Numbermatics.com. 2024. Web. 15 May 2024.

APA style:
Numbermatics. (2024). Number 63948 - Facts about the integer. Retrieved 15 May 2024, from https://numbermatics.com/n/63948/

Chicago style:
Numbermatics. 2024. "Number 63948 - Facts about the integer". https://numbermatics.com/n/63948/

The information we have on file for 63948 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 63948, math, Factors of 63948, curriculum, school, college, exams, university, Prime factorization of 63948, STEM, science, technology, engineering, physics, economics, calculator, sixty-three thousand, nine hundred forty-eight.