# 5088

## 5,088 is an even composite number composed of three prime numbers multiplied together.

What does the number 5088 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 24 divisors.

5088 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty-four divisors.

## Prime factorization of 5088:

### 25 × 3 × 53

(2 × 2 × 2 × 2 × 2 × 3 × 53)

See below for interesting mathematical facts about the number 5088 from the Numbermatics database.

### Names of 5088

• Cardinal: 5088 can be written as Five thousand and eighty-eight.

### Scientific notation

• Scientific notation: 5.088 × 103

### Factors of 5088

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 7
• Sum of prime factors: 58

### Divisors of 5088

• Number of divisors d(n): 24
• Complete list of divisors:
• Sum of all divisors σ(n): 13608
• Sum of proper divisors (its aliquot sum) s(n): 8520
• 5088 is an abundant number, because the sum of its proper divisors (8520) is greater than itself. Its abundance is 3432

### Bases of 5088

• Binary: 10011111000002
• Base-36: 3XC

### Squares and roots of 5088

• 5088 squared (50882) is 25887744
• 5088 cubed (50883) is 131716841472
• The square root of 5088 is 71.3302180007
• The cube root of 5088 is 17.1994952077

### Scales and comparisons

How big is 5088?
• 5,088 seconds is equal to 24 minutes, 48 seconds.
• To count from 1 to 5,088 would take you about twenty-four 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 5088 cubic inches would be around 1.4 feet tall.

### Recreational maths with 5088

• 5088 backwards is 8805
• The number of decimal digits it has is: 4
• The sum of 5088's digits is 21
• More coming soon!