# 2808

## 2,808 is an even composite number composed of three prime numbers multiplied together.

What does the number 2808 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 32 divisors.

2808 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of thirty-two divisors.

## Prime factorization of 2808:

### 23 × 33 × 13

(2 × 2 × 2 × 3 × 3 × 3 × 13)

See below for interesting mathematical facts about the number 2808 from the Numbermatics database.

### Names of 2808

• Cardinal: 2808 can be written as Two thousand, eight hundred eight.

### Scientific notation

• Scientific notation: 2.808 × 103

### Factors of 2808

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 7
• Sum of prime factors: 18

### Divisors of 2808

• Number of divisors d(n): 32
• Complete list of divisors:
• Sum of all divisors σ(n): 8400
• Sum of proper divisors (its aliquot sum) s(n): 5592
• 2808 is an abundant number, because the sum of its proper divisors (5592) is greater than itself. Its abundance is 2784

### Bases of 2808

• Binary: 1010111110002
• Base-36: 260

### Squares and roots of 2808

• 2808 squared (28082) is 7884864
• 2808 cubed (28083) is 22140698112
• The square root of 2808 is 52.9905651979
• The cube root of 2808 is 14.1080081263

### Scales and comparisons

How big is 2808?
• 2,808 seconds is equal to 46 minutes, 48 seconds.
• To count from 1 to 2,808 would take you about forty-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 2808 cubic inches would be around 1.2 feet tall.

### Recreational maths with 2808

• 2808 backwards is 8082
• 2808 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 2808's digits is 18
• More coming soon!