48825

48,825 is an odd composite number composed of four prime numbers multiplied together.

What does the number 48825 look like?

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

48825 is an odd composite number. It is composed of four distinct prime numbers multiplied together. It has a total of thirty-six divisors.

Prime factorization of 48825:

3² × 5² × 7 × 31

(3 × 3 × 5 × 5 × 7 × 31)

See below for interesting mathematical facts about the number 48825 from the Numbermatics database.

Names of 48825

Cardinal: 48825 can be written as Forty-eight thousand, eight hundred twenty-five.

Scientific notation

Scientific notation: 4.8825 × 10⁴

Factors of 48825

Number of distinct prime factors ω(n): 4
Total number of prime factors Ω(n): 6
Sum of prime factors: 46

Divisors of 48825

Number of divisors d(n): 36
Complete list of divisors:
1 3 5 7 9 15 21 25 31 35 45 63 75 93 105 155 175 217 225 279 315 465 525 651 775 1085 1395 1575 1953 2325 3255 5425 6975 9765 16275 48825
Sum of all divisors σ(n): 103168
Sum of proper divisors (its aliquot sum) s(n): 54343
48825 is an abundant number, because the sum of its proper divisors (54343) is greater than itself. Its abundance is 5518

Bases of 48825

Binary: 1011111010111001₂
Hexadecimal: 0xBEB9
Base-36: 11O9

Squares and roots of 48825

48825 squared (48825²) is 2383880625
48825 cubed (48825³) is 116392971515625
The square root of 48825 is 220.9637979399
The cube root of 48825 is 36.5494419729

Scales and comparisons

How big is 48825?

48,825 seconds is equal to 13 hours, 33 minutes, 45 seconds.
To count from 1 to 48,825 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 48825 cubic inches would be around 3 feet tall.

Recreational maths with 48825

48825 backwards is 52884
The number of decimal digits it has is: 5
The sum of 48825's digits is 27
More coming soon!

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The information we have on file for 48825 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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