47520

47,520 is an even composite number composed of four prime numbers multiplied together.

What does the number 47520 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 96 divisors.

47520 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of ninety-six divisors.

Prime factorization of 47520:

2⁵ × 3³ × 5 × 11

(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 11)

See below for interesting mathematical facts about the number 47520 from the Numbermatics database.

Names of 47520

Cardinal: 47520 can be written as Forty-seven thousand, five hundred twenty.

Scientific notation

Scientific notation: 4.752 × 10⁴

Factors of 47520

Number of distinct prime factors ω(n): 4
Total number of prime factors Ω(n): 10
Sum of prime factors: 21

Divisors of 47520

Number of divisors d(n): 96
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 32 33 36 40 44 45 48 54 55 60 66 72 80 88 90 96 99 108 110 120 132 135 144 160 165 176 180 198 216 220 240 264 270 288 297 330 352 360 396 432 440 480 495 528 540 594 660 720 792 864 880 990 1056 1080 1188 1320 1440 1485 1584 1760 1980 2160 2376 2640 2970 3168 3960 4320 4752 5280 5940 7920 9504 11880 15840 23760 47520
Sum of all divisors σ(n): 181440
Sum of proper divisors (its aliquot sum) s(n): 133920
47520 is an abundant number, because the sum of its proper divisors (133920) is greater than itself. Its abundance is 86400

Bases of 47520

Binary: 1011100110100000₂
Hexadecimal: 0xB9A0
Base-36: 10O0

Squares and roots of 47520

47520 squared (47520²) is 2258150400
47520 cubed (47520³) is 107307307008000
The square root of 47520 is 217.9908254951
The cube root of 47520 is 36.2208644207

Scales and comparisons

How big is 47520?

47,520 seconds is equal to 13 hours, 12 minutes.
To count from 1 to 47,520 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 47520 cubic inches would be around 3 feet tall.

Recreational maths with 47520

47520 backwards is 02574
47520 is a Harshad number.
The number of decimal digits it has is: 5
The sum of 47520's digits is 18
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/47520/?utm_source=shared">Number 47520 - 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/47520/?utm_source=shared]Number 47520 - Facts about the integer[/url]

Cite this page

MLA style:
"Number 47520 - Facts about the integer". Numbermatics.com. 2025. Web. 17 March 2025.

APA style:
Numbermatics. (2025). Number 47520 - Facts about the integer. Retrieved 17 March 2025, from https://numbermatics.com/n/47520/

Chicago style:
Numbermatics. 2025. "Number 47520 - Facts about the integer". https://numbermatics.com/n/47520/

The information we have on file for 47520 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 47520, math, Factors of 47520, curriculum, school, college, exams, university, Prime factorization of 47520, STEM, science, technology, engineering, physics, economics, calculator, forty-seven thousand, five hundred twenty.