44928

44,928 is an even composite number composed of three prime numbers multiplied together.

What does the number 44928 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 64 divisors.

44928 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of sixty-four divisors.

Prime factorization of 44928:

2⁷ × 3³ × 13

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 13)

See below for interesting mathematical facts about the number 44928 from the Numbermatics database.

Names of 44928

Cardinal: 44928 can be written as Forty-four thousand, nine hundred twenty-eight.

Scientific notation

Scientific notation: 4.4928 × 10⁴

Factors of 44928

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 11
Sum of prime factors: 18

Divisors of 44928

Number of divisors d(n): 64
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 288 312 351 384 416 432 468 576 624 702 832 864 936 1152 1248 1404 1664 1728 1872 2496 2808 3456 3744 4992 5616 7488 11232 14976 22464 44928
Sum of all divisors σ(n): 142800
Sum of proper divisors (its aliquot sum) s(n): 97872
44928 is an abundant number, because the sum of its proper divisors (97872) is greater than itself. Its abundance is 52944

Bases of 44928

Binary: 1010111110000000₂
Hexadecimal: 0xAF80
Base-36: YO0

Squares and roots of 44928

44928 squared (44928²) is 2018525184
44928 cubed (44928³) is 90688299466752
The square root of 44928 is 211.9622607917
The cube root of 44928 is 35.5499528209

Scales and comparisons

How big is 44928?

44,928 seconds is equal to 12 hours, 28 minutes, 48 seconds.
To count from 1 to 44,928 would take you about twelve 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 44928 cubic inches would be around 3 feet tall.

Recreational maths with 44928

44928 backwards is 82944
44928 is a Harshad number.
The number of decimal digits it has is: 5
The sum of 44928'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/44928/?utm_source=shared">Number 44928 - 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/44928/?utm_source=shared]Number 44928 - Facts about the integer[/url]

Cite this page

MLA style:
"Number 44928 - Facts about the integer". Numbermatics.com. 2024. Web. 26 April 2024.

APA style:
Numbermatics. (2024). Number 44928 - Facts about the integer. Retrieved 26 April 2024, from https://numbermatics.com/n/44928/

Chicago style:
Numbermatics. 2024. "Number 44928 - Facts about the integer". https://numbermatics.com/n/44928/

The information we have on file for 44928 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 44928, math, Factors of 44928, curriculum, school, college, exams, university, Prime factorization of 44928, STEM, science, technology, engineering, physics, economics, calculator, forty-four thousand, nine hundred twenty-eight.