23808

23,808 is an even composite number composed of three prime numbers multiplied together.

What does the number 23808 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 36 divisors.

23808 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of thirty-six divisors.

Prime factorization of 23808:

2⁸ × 3 × 31

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 31)

See below for interesting mathematical facts about the number 23808 from the Numbermatics database.

Names of 23808

Cardinal: 23808 can be written as Twenty-three thousand, eight hundred eight.

Scientific notation

Scientific notation: 2.3808 × 10⁴

Factors of 23808

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 10
Sum of prime factors: 36

Divisors of 23808

Number of divisors d(n): 36
Complete list of divisors:
1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 744 768 992 1488 1984 2976 3968 5952 7936 11904 23808
Sum of all divisors σ(n): 65408
Sum of proper divisors (its aliquot sum) s(n): 41600
23808 is an abundant number, because the sum of its proper divisors (41600) is greater than itself. Its abundance is 17792

Bases of 23808

Binary: 101110100000000₂
Hexadecimal: 0x5D00
Base-36: IDC

Squares and roots of 23808

23808 squared (23808²) is 566820864
23808 cubed (23808³) is 13494871130112
The square root of 23808 is 154.2984121757
The cube root of 23808 is 28.7678653925

Scales and comparisons

How big is 23808?

23,808 seconds is equal to 6 hours, 36 minutes, 48 seconds.
To count from 1 to 23,808 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 23808 cubic inches would be around 2.4 feet tall.

Recreational maths with 23808

23808 backwards is 80832
The number of decimal digits it has is: 5
The sum of 23808's digits is 21
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/23808/?utm_source=shared">Number 23808 - 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/23808/?utm_source=shared]Number 23808 - Facts about the integer[/url]

Cite this page

MLA style:
"Number 23808 - Facts about the integer". Numbermatics.com. 2024. Web. 26 April 2024.

APA style:
Numbermatics. (2024). Number 23808 - Facts about the integer. Retrieved 26 April 2024, from https://numbermatics.com/n/23808/

Chicago style:
Numbermatics. 2024. "Number 23808 - Facts about the integer". https://numbermatics.com/n/23808/

The information we have on file for 23808 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 23808, math, Factors of 23808, curriculum, school, college, exams, university, Prime factorization of 23808, STEM, science, technology, engineering, physics, economics, calculator, twenty-three thousand, eight hundred eight.