48480

48,480 is an even composite number composed of four prime numbers multiplied together.

What does the number 48480 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 48 divisors.

48480 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of forty-eight divisors.

Prime factorization of 48480:

2⁵ × 3 × 5 × 101

(2 × 2 × 2 × 2 × 2 × 3 × 5 × 101)

See below for interesting mathematical facts about the number 48480 from the Numbermatics database.

Names of 48480

Cardinal: 48480 can be written as Forty-eight thousand, four hundred eighty.

Scientific notation

Scientific notation: 4.848 × 10⁴

Factors of 48480

Number of distinct prime factors ω(n): 4
Total number of prime factors Ω(n): 8
Sum of prime factors: 111

Divisors of 48480

Number of divisors d(n): 48
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 101 120 160 202 240 303 404 480 505 606 808 1010 1212 1515 1616 2020 2424 3030 3232 4040 4848 6060 8080 9696 12120 16160 24240 48480
Sum of all divisors σ(n): 154224
Sum of proper divisors (its aliquot sum) s(n): 105744
48480 is an abundant number, because the sum of its proper divisors (105744) is greater than itself. Its abundance is 57264

Bases of 48480

Binary: 1011110101100000₂
Hexadecimal: 0xBD60
Base-36: 11EO

Squares and roots of 48480

48480 squared (48480²) is 2350310400
48480 cubed (48480³) is 113943048192000
The square root of 48480 is 220.1817431123
The cube root of 48480 is 36.4631516535

Scales and comparisons

How big is 48480?

48,480 seconds is equal to 13 hours, 28 minutes.
To count from 1 to 48,480 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 48480 cubic inches would be around 3 feet tall.

Recreational maths with 48480

48480 backwards is 08484
48480 is a Harshad number.
The number of decimal digits it has is: 5
The sum of 48480's digits is 24
More coming soon!

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The information we have on file for 48480 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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