53184

53,184 is an even composite number composed of three prime numbers multiplied together.

What does the number 53184 look like?

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

53184 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 53184:

2⁶ × 3 × 277

(2 × 2 × 2 × 2 × 2 × 2 × 3 × 277)

See below for interesting mathematical facts about the number 53184 from the Numbermatics database.

Names of 53184

Cardinal: 53184 can be written as Fifty-three thousand, one hundred eighty-four.

Scientific notation

Scientific notation: 5.3184 × 10⁴

Factors of 53184

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 8
Sum of prime factors: 282

Divisors of 53184

Number of divisors d(n): 28
Complete list of divisors:
1 2 3 4 6 8 12 16 24 32 48 64 96 192 277 554 831 1108 1662 2216 3324 4432 6648 8864 13296 17728 26592 53184
Sum of all divisors σ(n): 141224
Sum of proper divisors (its aliquot sum) s(n): 88040
53184 is an abundant number, because the sum of its proper divisors (88040) is greater than itself. Its abundance is 34856

Bases of 53184

Binary: 1100111111000000₂
Hexadecimal: 0xCFC0
Base-36: 151C

Squares and roots of 53184

53184 squared (53184²) is 2828537856
53184 cubed (53184³) is 150432957333504
The square root of 53184 is 230.6165648863
The cube root of 53184 is 37.6062763025

Scales and comparisons

How big is 53184?

53,184 seconds is equal to 14 hours, 46 minutes, 24 seconds.
To count from 1 to 53,184 would take you about fourteen 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 53184 cubic inches would be around 3.1 feet tall.

Recreational maths with 53184

53184 backwards is 48135
The number of decimal digits it has is: 5
The sum of 53184's digits is 21
More coming soon!

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The information we have on file for 53184 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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