54648

54,648 is an even composite number composed of four prime numbers multiplied together.

What does the number 54648 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 64 divisors.

54648 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of sixty-four divisors.

Prime factorization of 54648:

2³ × 3³ × 11 × 23

(2 × 2 × 2 × 3 × 3 × 3 × 11 × 23)

See below for interesting mathematical facts about the number 54648 from the Numbermatics database.

Names of 54648

Cardinal: 54648 can be written as Fifty-four thousand, six hundred forty-eight.

Scientific notation

Scientific notation: 5.4648 × 10⁴

Factors of 54648

Number of distinct prime factors ω(n): 4
Total number of prime factors Ω(n): 8
Sum of prime factors: 39

Divisors of 54648

Number of divisors d(n): 64
Complete list of divisors:
1 2 3 4 6 8 9 11 12 18 22 23 24 27 33 36 44 46 54 66 69 72 88 92 99 108 132 138 184 198 207 216 253 264 276 297 396 414 506 552 594 621 759 792 828 1012 1188 1242 1518 1656 2024 2277 2376 2484 3036 4554 4968 6072 6831 9108 13662 18216 27324 54648
Sum of all divisors σ(n): 172800
Sum of proper divisors (its aliquot sum) s(n): 118152
54648 is an abundant number, because the sum of its proper divisors (118152) is greater than itself. Its abundance is 63504

Bases of 54648

Binary: 1101010101111000₂
Hexadecimal: 0xD578
Base-36: 1660

Squares and roots of 54648

54648 squared (54648²) is 2986403904
54648 cubed (54648³) is 163201000545792
The square root of 54648 is 233.7691168653
The cube root of 54648 is 37.9482212607

Scales and comparisons

How big is 54648?

54,648 seconds is equal to 15 hours, 10 minutes, 48 seconds.
To count from 1 to 54,648 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 54648 cubic inches would be around 3.2 feet tall.

Recreational maths with 54648

54648 backwards is 84645
54648 is a Harshad number.
The number of decimal digits it has is: 5
The sum of 54648's digits is 27
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/54648/?utm_source=shared">Number 54648 - 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/54648/?utm_source=shared]Number 54648 - Facts about the integer[/url]

Cite this page

MLA style:
"Number 54648 - Facts about the integer". Numbermatics.com. 2024. Web. 26 April 2024.

APA style:
Numbermatics. (2024). Number 54648 - Facts about the integer. Retrieved 26 April 2024, from https://numbermatics.com/n/54648/

Chicago style:
Numbermatics. 2024. "Number 54648 - Facts about the integer". https://numbermatics.com/n/54648/

The information we have on file for 54648 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 54648, math, Factors of 54648, curriculum, school, college, exams, university, Prime factorization of 54648, STEM, science, technology, engineering, physics, economics, calculator, fifty-four thousand, six hundred forty-eight.