48360

48,360 is an even composite number composed of five prime numbers multiplied together.

What does the number 48360 look like?

This visualization shows the relationship between its 5 prime factors (large circles) and 64 divisors.

48360 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of sixty-four divisors.

Prime factorization of 48360:

2³ × 3 × 5 × 13 × 31

(2 × 2 × 2 × 3 × 5 × 13 × 31)

See below for interesting mathematical facts about the number 48360 from the Numbermatics database.

Names of 48360

Cardinal: 48360 can be written as Forty-eight thousand, three hundred sixty.

Scientific notation

Scientific notation: 4.836 × 10⁴

Factors of 48360

Number of distinct prime factors ω(n): 5
Total number of prime factors Ω(n): 7
Sum of prime factors: 54

Divisors of 48360

Number of divisors d(n): 64
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 31 39 40 52 60 62 65 78 93 104 120 124 130 155 156 186 195 248 260 310 312 372 390 403 465 520 620 744 780 806 930 1209 1240 1560 1612 1860 2015 2418 3224 3720 4030 4836 6045 8060 9672 12090 16120 24180 48360
Sum of all divisors σ(n): 161280
Sum of proper divisors (its aliquot sum) s(n): 112920
48360 is an abundant number, because the sum of its proper divisors (112920) is greater than itself. Its abundance is 64560

Bases of 48360

Binary: 1011110011101000₂
Hexadecimal: 0xBCE8
Base-36: 11BC

Squares and roots of 48360

48360 squared (48360²) is 2338689600
48360 cubed (48360³) is 113099029056000
The square root of 48360 is 219.9090721185
The cube root of 48360 is 36.4330416879

Scales and comparisons

How big is 48360?

48,360 seconds is equal to 13 hours, 26 minutes.
To count from 1 to 48,360 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 48360 cubic inches would be around 3 feet tall.

Recreational maths with 48360

48360 backwards is 06384
The number of decimal digits it has is: 5
The sum of 48360's digits is 21
More coming soon!

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The information we have on file for 48360 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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