# 48168

## 48,168 is an even composite number composed of three prime numbers multiplied together.

What does the number 48168 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 32 divisors.

48168 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of thirty-two divisors.

## Prime factorization of 48168:

### 23 × 33 × 223

(2 × 2 × 2 × 3 × 3 × 3 × 223)

See below for interesting mathematical facts about the number 48168 from the Numbermatics database.

### Names of 48168

• Cardinal: 48168 can be written as Forty-eight thousand, one hundred sixty-eight.

### Scientific notation

• Scientific notation: 4.8168 × 104

### Factors of 48168

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 7
• Sum of prime factors: 228

### Divisors of 48168

• Number of divisors d(n): 32
• Complete list of divisors:
• Sum of all divisors σ(n): 134400
• Sum of proper divisors (its aliquot sum) s(n): 86232
• 48168 is an abundant number, because the sum of its proper divisors (86232) is greater than itself. Its abundance is 38064

### Bases of 48168

• Binary: 10111100001010002
• Base-36: 1160

### Squares and roots of 48168

• 48168 squared (481682) is 2320156224
• 48168 cubed (481683) is 111757284997632
• The square root of 48168 is 219.4720938981
• The cube root of 48168 is 36.3847619671

### Scales and comparisons

How big is 48168?
• 48,168 seconds is equal to 13 hours, 22 minutes, 48 seconds.
• To count from 1 to 48,168 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 48168 cubic inches would be around 3 feet tall.

### Recreational maths with 48168

• 48168 backwards is 86184
• 48168 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 48168's digits is 27
• More coming soon!

HTML: To link to this page, just copy and paste the link below into your blog, web page or email.

BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:

MLA style:
"Number 48168 - Facts about the integer". Numbermatics.com. 2022. Web. 6 October 2022.

APA style:
Numbermatics. (2022). Number 48168 - Facts about the integer. Retrieved 6 October 2022, from https://numbermatics.com/n/48168/

Chicago style:
Numbermatics. 2022. "Number 48168 - Facts about the integer". https://numbermatics.com/n/48168/

The information we have on file for 48168 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 48168, math, Factors of 48168, curriculum, school, college, exams, university, Prime factorization of 48168, STEM, science, technology, engineering, physics, economics, calculator, forty-eight thousand, one hundred sixty-eight.

Oh no. Javascript is switched off in your browser.
Some bits of this website may not work unless you switch it on.