# 27824

## 27,824 is an even composite number composed of three prime numbers multiplied together.

What does the number 27824 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 20 divisors.

27824 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty divisors.

## Prime factorization of 27824:

### 24 × 37 × 47

(2 × 2 × 2 × 2 × 37 × 47)

See below for interesting mathematical facts about the number 27824 from the Numbermatics database.

### Names of 27824

• Cardinal: 27824 can be written as Twenty-seven thousand, eight hundred twenty-four.

### Scientific notation

• Scientific notation: 2.7824 × 104

### Factors of 27824

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 86

### Divisors of 27824

• Number of divisors d(n): 20
• Complete list of divisors:
• Sum of all divisors σ(n): 56544
• Sum of proper divisors (its aliquot sum) s(n): 28720
• 27824 is an abundant number, because the sum of its proper divisors (28720) is greater than itself. Its abundance is 896

### Bases of 27824

• Binary: 1101100101100002
• Base-36: LGW

### Squares and roots of 27824

• 27824 squared (278242) is 774174976
• 27824 cubed (278243) is 21540644532224
• The square root of 27824 is 166.8052756959
• The cube root of 27824 is 30.3021321755

### Scales and comparisons

How big is 27824?
• 27,824 seconds is equal to 7 hours, 43 minutes, 44 seconds.
• To count from 1 to 27,824 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 27824 cubic inches would be around 2.5 feet tall.

### Recreational maths with 27824

• 27824 backwards is 42872
• The number of decimal digits it has is: 5
• The sum of 27824's digits is 23
• More coming soon!