48132

48,132 is an even composite number composed of four prime numbers multiplied together.

What does the number 48132 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 36 divisors.

48132 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of thirty-six divisors.

Prime factorization of 48132:

2² × 3² × 7 × 191

(2 × 2 × 3 × 3 × 7 × 191)

See below for interesting mathematical facts about the number 48132 from the Numbermatics database.

Names of 48132

Cardinal: 48132 can be written as Forty-eight thousand, one hundred thirty-two.

Scientific notation

Scientific notation: 4.8132 × 10⁴

Factors of 48132

Number of distinct prime factors ω(n): 4
Total number of prime factors Ω(n): 6
Sum of prime factors: 203

Divisors of 48132

Number of divisors d(n): 36
Complete list of divisors:
1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 191 252 382 573 764 1146 1337 1719 2292 2674 3438 4011 5348 6876 8022 12033 16044 24066 48132
Sum of all divisors σ(n): 139776
Sum of proper divisors (its aliquot sum) s(n): 91644
48132 is an abundant number, because the sum of its proper divisors (91644) is greater than itself. Its abundance is 43512

Bases of 48132

Binary: 1011110000000100₂
Hexadecimal: 0xBC04
Base-36: 1150

Squares and roots of 48132

48132 squared (48132²) is 2316689424
48132 cubed (48132³) is 111506895355968
The square root of 48132 is 219.3900635853
The cube root of 48132 is 36.3756952431

Scales and comparisons

How big is 48132?

48,132 seconds is equal to 13 hours, 22 minutes, 12 seconds.
To count from 1 to 48,132 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 48132 cubic inches would be around 3 feet tall.

Recreational maths with 48132

48132 backwards is 23184
48132 is a Harshad number.
The number of decimal digits it has is: 5
The sum of 48132's digits is 18
More coming soon!

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The information we have on file for 48132 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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