# 2809

## 2,809 is an odd composite number. It is composed of a single prime number multiplied by itself.

What does the number 2809 look like?

This visualization shows the relationship between its 1 prime factors (large circles) and 3 divisors.

2809 is an odd composite number. It has a total of three divisors.

## Prime factorization of 2809:

### 532

(53 × 53)

See below for interesting mathematical facts about the number 2809 from the Numbermatics database.

### Names of 2809

• Cardinal: 2809 can be written as Two thousand, eight hundred nine.

### Scientific notation

• Scientific notation: 2.809 × 103

### Factors of 2809

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 2
• Sum of prime factors: 53

### Divisors of 2809

• Number of divisors d(n): 3
• Complete list of divisors:
• Sum of all divisors σ(n): 2863
• Sum of proper divisors (its aliquot sum) s(n): 54
• 2809 is a deficient number, because the sum of its proper divisors (54) is less than itself. Its deficiency is 2755

### Bases of 2809

• Binary: 1010111110012
• Base-36: 261

### Squares and roots of 2809

• 2809 squared (28092) is 7890481
• 2809 cubed (28093) is 22164361129
• 2809 is a perfect square number. Its square root is 53
• The cube root of 2809 is 14.1096826673

### Scales and comparisons

How big is 2809?
• 2,809 seconds is equal to 46 minutes, 49 seconds.
• To count from 1 to 2,809 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 2809 cubic inches would be around 1.2 feet tall.

### Recreational maths with 2809

• 2809 backwards is 9082
• The number of decimal digits it has is: 4
• The sum of 2809's digits is 19
• More coming soon!