53625

53,625 is an odd composite number composed of four prime numbers multiplied together.

What does the number 53625 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 32 divisors.

53625 is an odd composite number. It is composed of four distinct prime numbers multiplied together. It has a total of thirty-two divisors.

Prime factorization of 53625:

3 × 5³ × 11 × 13

(3 × 5 × 5 × 5 × 11 × 13)

See below for interesting mathematical facts about the number 53625 from the Numbermatics database.

Names of 53625

Cardinal: 53625 can be written as Fifty-three thousand, six hundred twenty-five.

Scientific notation

Scientific notation: 5.3625 × 10⁴

Factors of 53625

Number of distinct prime factors ω(n): 4
Total number of prime factors Ω(n): 6
Sum of prime factors: 32

Divisors of 53625

Number of divisors d(n): 32
Complete list of divisors:
1 3 5 11 13 15 25 33 39 55 65 75 125 143 165 195 275 325 375 429 715 825 975 1375 1625 2145 3575 4125 4875 10725 17875 53625
Sum of all divisors σ(n): 104832
Sum of proper divisors (its aliquot sum) s(n): 51207
53625 is a deficient number, because the sum of its proper divisors (51207) is less than itself. Its deficiency is 2418

Bases of 53625

Binary: 1101000101111001₂
Hexadecimal: 0xD179
Base-36: 15DL

Squares and roots of 53625

53625 squared (53625²) is 2875640625
53625 cubed (53625³) is 154206228515625
The square root of 53625 is 231.5707235381
The cube root of 53625 is 37.7099336611

Scales and comparisons

How big is 53625?

53,625 seconds is equal to 14 hours, 53 minutes, 45 seconds.
To count from 1 to 53,625 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 53625 cubic inches would be around 3.1 feet tall.

Recreational maths with 53625

53625 backwards is 52635
The number of decimal digits it has is: 5
The sum of 53625's digits is 21
More coming soon!

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The information we have on file for 53625 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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