38208

38,208 is an even composite number composed of three prime numbers multiplied together.

What does the number 38208 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 28 divisors.

38208 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty-eight divisors.

Prime factorization of 38208:

2⁶ × 3 × 199

(2 × 2 × 2 × 2 × 2 × 2 × 3 × 199)

See below for interesting mathematical facts about the number 38208 from the Numbermatics database.

Names of 38208

Cardinal: 38208 can be written as Thirty-eight thousand, two hundred eight.

Scientific notation

Scientific notation: 3.8208 × 10⁴

Factors of 38208

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 8
Sum of prime factors: 204

Divisors of 38208

Number of divisors d(n): 28
Complete list of divisors:
1 2 3 4 6 8 12 16 24 32 48 64 96 192 199 398 597 796 1194 1592 2388 3184 4776 6368 9552 12736 19104 38208
Sum of all divisors σ(n): 101600
Sum of proper divisors (its aliquot sum) s(n): 63392
38208 is an abundant number, because the sum of its proper divisors (63392) is greater than itself. Its abundance is 25184

Bases of 38208

Binary: 1001010101000000₂
Hexadecimal: 0x9540
Base-36: THC

Squares and roots of 38208

38208 squared (38208²) is 1459851264
38208 cubed (38208³) is 55777997094912
The square root of 38208 is 195.4686675659
The cube root of 38208 is 33.6809837917

Scales and comparisons

How big is 38208?

38,208 seconds is equal to 10 hours, 36 minutes, 48 seconds.
To count from 1 to 38,208 would take you about ten 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 38208 cubic inches would be around 2.8 feet tall.

Recreational maths with 38208

38208 backwards is 80283
The number of decimal digits it has is: 5
The sum of 38208'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/38208/?utm_source=shared">Number 38208 - 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/38208/?utm_source=shared]Number 38208 - Facts about the integer[/url]

Cite this page

MLA style:
"Number 38208 - Facts about the integer". Numbermatics.com. 2023. Web. 5 December 2023.

APA style:
Numbermatics. (2023). Number 38208 - Facts about the integer. Retrieved 5 December 2023, from https://numbermatics.com/n/38208/

Chicago style:
Numbermatics. 2023. "Number 38208 - Facts about the integer". https://numbermatics.com/n/38208/

The information we have on file for 38208 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 38208, math, Factors of 38208, curriculum, school, college, exams, university, Prime factorization of 38208, STEM, science, technology, engineering, physics, economics, calculator, thirty-eight thousand, two hundred eight.