47728

47,728 is an even composite number composed of three prime numbers multiplied together.

What does the number 47728 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 20 divisors.

47728 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty divisors.

Prime factorization of 47728:

2⁴ × 19 × 157

(2 × 2 × 2 × 2 × 19 × 157)

See below for interesting mathematical facts about the number 47728 from the Numbermatics database.

Names of 47728

Cardinal: 47728 can be written as Forty-seven thousand, seven hundred twenty-eight.

Scientific notation

Scientific notation: 4.7728 × 10⁴

Factors of 47728

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 6
Sum of prime factors: 178

Divisors of 47728

Number of divisors d(n): 20
Complete list of divisors:
1 2 4 8 16 19 38 76 152 157 304 314 628 1256 2512 2983 5966 11932 23864 47728
Sum of all divisors σ(n): 97960
Sum of proper divisors (its aliquot sum) s(n): 50232
47728 is an abundant number, because the sum of its proper divisors (50232) is greater than itself. Its abundance is 2504

Bases of 47728

Binary: 1011101001110000₂
Hexadecimal: 0xBA70
Base-36: 10TS

Squares and roots of 47728

47728 squared (47728²) is 2277961984
47728 cubed (47728³) is 108722569572352
The square root of 47728 is 218.4673888707
The cube root of 47728 is 36.2736350027

Scales and comparisons

How big is 47728?

47,728 seconds is equal to 13 hours, 15 minutes, 28 seconds.
To count from 1 to 47,728 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 47728 cubic inches would be around 3 feet tall.

Recreational maths with 47728

47728 backwards is 82774
The number of decimal digits it has is: 5
The sum of 47728's digits is 28
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/47728/?utm_source=shared">Number 47728 - 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/47728/?utm_source=shared]Number 47728 - Facts about the integer[/url]

Cite this page

MLA style:
"Number 47728 - Facts about the integer". Numbermatics.com. 2024. Web. 23 April 2024.

APA style:
Numbermatics. (2024). Number 47728 - Facts about the integer. Retrieved 23 April 2024, from https://numbermatics.com/n/47728/

Chicago style:
Numbermatics. 2024. "Number 47728 - Facts about the integer". https://numbermatics.com/n/47728/

The information we have on file for 47728 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 47728, math, Factors of 47728, curriculum, school, college, exams, university, Prime factorization of 47728, STEM, science, technology, engineering, physics, economics, calculator, forty-seven thousand, seven hundred twenty-eight.