48180

48,180 is an even composite number composed of five prime numbers multiplied together.

What does the number 48180 look like?

This visualization shows the relationship between its 5 prime factors (large circles) and 48 divisors.

48180 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of forty-eight divisors.

Prime factorization of 48180:

2² × 3 × 5 × 11 × 73

(2 × 2 × 3 × 5 × 11 × 73)

See below for interesting mathematical facts about the number 48180 from the Numbermatics database.

Names of 48180

Cardinal: 48180 can be written as Forty-eight thousand, one hundred eighty.

Scientific notation

Scientific notation: 4.818 × 10⁴

Factors of 48180

Number of distinct prime factors ω(n): 5
Total number of prime factors Ω(n): 6
Sum of prime factors: 94

Divisors of 48180

Number of divisors d(n): 48
Complete list of divisors:
1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 73 110 132 146 165 219 220 292 330 365 438 660 730 803 876 1095 1460 1606 2190 2409 3212 4015 4380 4818 8030 9636 12045 16060 24090 48180
Sum of all divisors σ(n): 149184
Sum of proper divisors (its aliquot sum) s(n): 101004
48180 is an abundant number, because the sum of its proper divisors (101004) is greater than itself. Its abundance is 52824

Bases of 48180

Binary: 1011110000110100₂
Hexadecimal: 0xBC34
Base-36: 116C

Squares and roots of 48180

48180 squared (48180²) is 2321312400
48180 cubed (48180³) is 111840831432000
The square root of 48180 is 219.4994305231
The cube root of 48180 is 36.3877832045

Scales and comparisons

How big is 48180?

48,180 seconds is equal to 13 hours, 23 minutes.
To count from 1 to 48,180 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 48180 cubic inches would be around 3 feet tall.

Recreational maths with 48180

48180 backwards is 08184
The number of decimal digits it has is: 5
The sum of 48180's digits is 21
More coming soon!

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The information we have on file for 48180 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!

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