# 27825

## 27,825 is an odd composite number composed of four prime numbers multiplied together.

What does the number 27825 look like?

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

27825 is an odd composite number. It is composed of four distinct prime numbers multiplied together. It has a total of twenty-four divisors.

## Prime factorization of 27825:

### 3 × 52 × 7 × 53

(3 × 5 × 5 × 7 × 53)

See below for interesting mathematical facts about the number 27825 from the Numbermatics database.

### Names of 27825

• Cardinal: 27825 can be written as Twenty-seven thousand, eight hundred twenty-five.

### Scientific notation

• Scientific notation: 2.7825 × 104

### Factors of 27825

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 68

### Divisors of 27825

• Number of divisors d(n): 24
• Complete list of divisors:
• Sum of all divisors σ(n): 53568
• Sum of proper divisors (its aliquot sum) s(n): 25743
• 27825 is a deficient number, because the sum of its proper divisors (25743) is less than itself. Its deficiency is 2082

### Bases of 27825

• Binary: 1101100101100012
• Base-36: LGX

### Squares and roots of 27825

• 27825 squared (278252) is 774230625
• 27825 cubed (278253) is 21542967140625
• The square root of 27825 is 166.8082731761
• The cube root of 27825 is 30.3024951925

### Scales and comparisons

How big is 27825?
• 27,825 seconds is equal to 7 hours, 43 minutes, 45 seconds.
• To count from 1 to 27,825 would take you about seven 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 27825 cubic inches would be around 2.5 feet tall.

### Recreational maths with 27825

• 27825 backwards is 52872
• The number of decimal digits it has is: 5
• The sum of 27825's digits is 24
• More coming soon!