# 5632

## 5,632 is an even composite number composed of two prime numbers multiplied together.

What does the number 5632 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 20 divisors.

5632 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of twenty divisors.

## Prime factorization of 5632:

### 29 × 11

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 11)

See below for interesting mathematical facts about the number 5632 from the Numbermatics database.

### Names of 5632

• Cardinal: 5632 can be written as Five thousand, six hundred thirty-two.

### Scientific notation

• Scientific notation: 5.632 × 103

### Factors of 5632

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 13

### Divisors of 5632

• Number of divisors d(n): 20
• Complete list of divisors:
• Sum of all divisors σ(n): 12276
• Sum of proper divisors (its aliquot sum) s(n): 6644
• 5632 is an abundant number, because the sum of its proper divisors (6644) is greater than itself. Its abundance is 1012

### Bases of 5632

• Binary: 10110000000002
• Base-36: 4CG

### Squares and roots of 5632

• 5632 squared (56322) is 31719424
• 5632 cubed (56323) is 178643795968
• The square root of 5632 is 75.0466521571
• The cube root of 5632 is 17.7918407245

### Scales and comparisons

How big is 5632?
• 5,632 seconds is equal to 33 minutes, 52 seconds.
• To count from 1 to 5,632 would take you about thirty-three 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 5632 cubic inches would be around 1.5 feet tall.

### Recreational maths with 5632

• 5632 backwards is 2365
• 5632 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 5632's digits is 16
• More coming soon!