# 564

## 564 is an even composite number composed of three prime numbers multiplied together.

What does the number 564 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 12 divisors.

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

## Prime factorization of 564:

### 22 × 3 × 47

(2 × 2 × 3 × 47)

See below for interesting mathematical facts about the number 564 from the Numbermatics database.

### Names of 564

• Cardinal: 564 can be written as Five hundred sixty-four.

### Scientific notation

• Scientific notation: 5.64 × 102

### Factors of 564

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 4
• Sum of prime factors: 52

### Divisors of 564

• Number of divisors d(n): 12
• Complete list of divisors:
• Sum of all divisors σ(n): 1344
• Sum of proper divisors (its aliquot sum) s(n): 780
• 564 is an abundant number, because the sum of its proper divisors (780) is greater than itself. Its abundance is 216

### Bases of 564

• Binary: 10001101002
• Base-36: FO

### Squares and roots of 564

• 564 squared (5642) is 318096
• 564 cubed (5643) is 179406144
• The square root of 564 is 23.7486841741
• The cube root of 564 is 8.2621492257

### Scales and comparisons

How big is 564?
• 564 seconds is equal to 9 minutes, 24 seconds.
• To count from 1 to 564 would take you about four minutes.

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 564 cubic inches would be around 0.7 feet tall.

### Recreational maths with 564

• 564 backwards is 465
• The number of decimal digits it has is: 3
• The sum of 564's digits is 15
• More coming soon!