54048

54,048 is an even composite number composed of three prime numbers multiplied together.

What does the number 54048 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 24 divisors.

54048 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty-four divisors.

Prime factorization of 54048:

2⁵ × 3 × 563

(2 × 2 × 2 × 2 × 2 × 3 × 563)

See below for interesting mathematical facts about the number 54048 from the Numbermatics database.

Names of 54048

Cardinal: 54048 can be written as Fifty-four thousand and forty-eight.

Scientific notation

Scientific notation: 5.4048 × 10⁴

Factors of 54048

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 7
Sum of prime factors: 568

Divisors of 54048

Number of divisors d(n): 24
Complete list of divisors:
1 2 3 4 6 8 12 16 24 32 48 96 563 1126 1689 2252 3378 4504 6756 9008 13512 18016 27024 54048
Sum of all divisors σ(n): 142128
Sum of proper divisors (its aliquot sum) s(n): 88080
54048 is an abundant number, because the sum of its proper divisors (88080) is greater than itself. Its abundance is 34032

Bases of 54048

Binary: 1101001100100000₂
Hexadecimal: 0xD320
Base-36: 15PC

Squares and roots of 54048

54048 squared (54048²) is 2921186304
54048 cubed (54048³) is 157884277358592
The square root of 54048 is 232.4822573875
The cube root of 54048 is 37.8088274785

Scales and comparisons

How big is 54048?

54,048 seconds is equal to 15 hours, 48 seconds.
To count from 1 to 54,048 would take you about fifteen 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 54048 cubic inches would be around 3.2 feet tall.

Recreational maths with 54048

54048 backwards is 84045
The number of decimal digits it has is: 5
The sum of 54048'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/54048/?utm_source=shared">Number 54048 - 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/54048/?utm_source=shared]Number 54048 - Facts about the integer[/url]

Cite this page

MLA style:
"Number 54048 - Facts about the integer". Numbermatics.com. 2024. Web. 25 April 2024.

APA style:
Numbermatics. (2024). Number 54048 - Facts about the integer. Retrieved 25 April 2024, from https://numbermatics.com/n/54048/

Chicago style:
Numbermatics. 2024. "Number 54048 - Facts about the integer". https://numbermatics.com/n/54048/

The information we have on file for 54048 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 54048, math, Factors of 54048, curriculum, school, college, exams, university, Prime factorization of 54048, STEM, science, technology, engineering, physics, economics, calculator, fifty-four thousand and forty-eight.