53742

53,742 is an even composite number composed of four prime numbers multiplied together.

What does the number 53742 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 24 divisors.

53742 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of twenty-four divisors.

Prime factorization of 53742:

2 × 3 × 13² × 53

(2 × 3 × 13 × 13 × 53)

See below for interesting mathematical facts about the number 53742 from the Numbermatics database.

Names of 53742

Cardinal: 53742 can be written as Fifty-three thousand, seven hundred forty-two.

Scientific notation

Scientific notation: 5.3742 × 10⁴

Factors of 53742

Number of distinct prime factors ω(n): 4
Total number of prime factors Ω(n): 5
Sum of prime factors: 71

Divisors of 53742

Number of divisors d(n): 24
Complete list of divisors:
1 2 3 6 13 26 39 53 78 106 159 169 318 338 507 689 1014 1378 2067 4134 8957 17914 26871 53742
Sum of all divisors σ(n): 118584
Sum of proper divisors (its aliquot sum) s(n): 64842
53742 is an abundant number, because the sum of its proper divisors (64842) is greater than itself. Its abundance is 11100

Bases of 53742

Binary: 1101000111101110₂
Hexadecimal: 0xD1EE
Base-36: 15GU

Squares and roots of 53742

53742 squared (53742²) is 2888202564
53742 cubed (53742³) is 155217782194488
The square root of 53742 is 231.8232085017
The cube root of 53742 is 37.7373391455

Scales and comparisons

How big is 53742?

53,742 seconds is equal to 14 hours, 55 minutes, 42 seconds.
To count from 1 to 53,742 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 53742 cubic inches would be around 3.1 feet tall.

Recreational maths with 53742

53742 backwards is 24735
The number of decimal digits it has is: 5
The sum of 53742's digits is 21
More coming soon!

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The information we have on file for 53742 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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