48192

48,192 is an even composite number composed of three prime numbers multiplied together.

What does the number 48192 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 28 divisors.

48192 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty-eight divisors.

Prime factorization of 48192:

2⁶ × 3 × 251

(2 × 2 × 2 × 2 × 2 × 2 × 3 × 251)

See below for interesting mathematical facts about the number 48192 from the Numbermatics database.

Names of 48192

Cardinal: 48192 can be written as Forty-eight thousand, one hundred ninety-two.

Scientific notation

Scientific notation: 4.8192 × 10⁴

Factors of 48192

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 8
Sum of prime factors: 256

Divisors of 48192

Number of divisors d(n): 28
Complete list of divisors:
1 2 3 4 6 8 12 16 24 32 48 64 96 192 251 502 753 1004 1506 2008 3012 4016 6024 8032 12048 16064 24096 48192
Sum of all divisors σ(n): 128016
Sum of proper divisors (its aliquot sum) s(n): 79824
48192 is an abundant number, because the sum of its proper divisors (79824) is greater than itself. Its abundance is 31632

Bases of 48192

Binary: 1011110001000000₂
Hexadecimal: 0xBC40
Base-36: 116O

Squares and roots of 48192

48192 squared (48192²) is 2322468864
48192 cubed (48192³) is 111924419493888
The square root of 48192 is 219.5267637441
The cube root of 48192 is 36.3908039401

Scales and comparisons

How big is 48192?

48,192 seconds is equal to 13 hours, 23 minutes, 12 seconds.
To count from 1 to 48,192 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 48192 cubic inches would be around 3 feet tall.

Recreational maths with 48192

48192 backwards is 29184
48192 is a Harshad number.
The number of decimal digits it has is: 5
The sum of 48192's digits is 24
More coming soon!

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The information we have on file for 48192 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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