48768

48,768 is an even composite number composed of three prime numbers multiplied together.

What does the number 48768 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 32 divisors.

48768 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of thirty-two divisors.

Prime factorization of 48768:

2⁷ × 3 × 127

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 127)

See below for interesting mathematical facts about the number 48768 from the Numbermatics database.

Names of 48768

Cardinal: 48768 can be written as Forty-eight thousand, seven hundred sixty-eight.

Scientific notation

Scientific notation: 4.8768 × 10⁴

Factors of 48768

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 9
Sum of prime factors: 132

Divisors of 48768

Number of divisors d(n): 32
Complete list of divisors:
1 2 3 4 6 8 12 16 24 32 48 64 96 127 128 192 254 381 384 508 762 1016 1524 2032 3048 4064 6096 8128 12192 16256 24384 48768
Sum of all divisors σ(n): 130560
Sum of proper divisors (its aliquot sum) s(n): 81792
48768 is an abundant number, because the sum of its proper divisors (81792) is greater than itself. Its abundance is 33024

Bases of 48768

Binary: 1011111010000000₂
Hexadecimal: 0xBE80
Base-36: 11MO

Squares and roots of 48768

48768 squared (48768²) is 2378317824
48768 cubed (48768³) is 115985803640832
The square root of 48768 is 220.8347798695
The cube root of 48768 is 36.5352134055

Scales and comparisons

How big is 48768?

48,768 seconds is equal to 13 hours, 32 minutes, 48 seconds.
To count from 1 to 48,768 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 48768 cubic inches would be around 3 feet tall.

Recreational maths with 48768

48768 backwards is 86784
The number of decimal digits it has is: 5
The sum of 48768's digits is 33
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/48768/?utm_source=shared">Number 48768 - 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/48768/?utm_source=shared]Number 48768 - Facts about the integer[/url]

Cite this page

MLA style:
"Number 48768 - Facts about the integer". Numbermatics.com. 2024. Web. 24 April 2024.

APA style:
Numbermatics. (2024). Number 48768 - Facts about the integer. Retrieved 24 April 2024, from https://numbermatics.com/n/48768/

Chicago style:
Numbermatics. 2024. "Number 48768 - Facts about the integer". https://numbermatics.com/n/48768/

The information we have on file for 48768 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 48768, math, Factors of 48768, curriculum, school, college, exams, university, Prime factorization of 48768, STEM, science, technology, engineering, physics, economics, calculator, forty-eight thousand, seven hundred sixty-eight.