# 2816

## 2,816 is an even composite number composed of two prime numbers multiplied together.

What does the number 2816 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 18 divisors.

2816 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of eighteen divisors.

## Prime factorization of 2816:

### 28 × 11

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 11)

See below for interesting mathematical facts about the number 2816 from the Numbermatics database.

### Names of 2816

• Cardinal: 2816 can be written as Two thousand, eight hundred sixteen.

### Scientific notation

• Scientific notation: 2.816 × 103

### Factors of 2816

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 13

### Divisors of 2816

• Number of divisors d(n): 18
• Complete list of divisors:
• Sum of all divisors σ(n): 6132
• Sum of proper divisors (its aliquot sum) s(n): 3316
• 2816 is an abundant number, because the sum of its proper divisors (3316) is greater than itself. Its abundance is 500

### Bases of 2816

• Binary: 1011000000002
• Base-36: 268

### Squares and roots of 2816

• 2816 squared (28162) is 7929856
• 2816 cubed (28163) is 22330474496
• The square root of 2816 is 53.0659966457
• The cube root of 2816 is 14.1213933413

### Scales and comparisons

How big is 2816?
• 2,816 seconds is equal to 46 minutes, 56 seconds.
• To count from 1 to 2,816 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 2816 cubic inches would be around 1.2 feet tall.

### Recreational maths with 2816

• 2816 backwards is 6182
• The number of decimal digits it has is: 4
• The sum of 2816's digits is 17
• More coming soon!