# 5208

## 5,208 is an even composite number composed of four prime numbers multiplied together.

What does the number 5208 look like?

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

5208 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of thirty-two divisors.

## Prime factorization of 5208:

### 23 × 3 × 7 × 31

(2 × 2 × 2 × 3 × 7 × 31)

See below for interesting mathematical facts about the number 5208 from the Numbermatics database.

### Names of 5208

• Cardinal: 5208 can be written as Five thousand, two hundred eight.

### Scientific notation

• Scientific notation: 5.208 × 103

### Factors of 5208

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 43

### Divisors of 5208

• Number of divisors d(n): 32
• Complete list of divisors:
• Sum of all divisors σ(n): 15360
• Sum of proper divisors (its aliquot sum) s(n): 10152
• 5208 is an abundant number, because the sum of its proper divisors (10152) is greater than itself. Its abundance is 4944

### Bases of 5208

• Binary: 10100010110002
• Base-36: 40O

### Squares and roots of 5208

• 5208 squared (52082) is 27123264
• 5208 cubed (52083) is 141257958912
• The square root of 5208 is 72.1664742107
• The cube root of 5208 is 17.3336620581

### Scales and comparisons

How big is 5208?
• 5,208 seconds is equal to 1 hour, 26 minutes, 48 seconds.
• To count from 1 to 5,208 would take you about twenty-six 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 5208 cubic inches would be around 1.4 feet tall.

### Recreational maths with 5208

• 5208 backwards is 8025
• The number of decimal digits it has is: 4
• The sum of 5208's digits is 15
• More coming soon!