# 5152

## 5,152 is an even composite number composed of three prime numbers multiplied together.

What does the number 5152 look like?

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

5152 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 5152:

### 25 × 7 × 23

(2 × 2 × 2 × 2 × 2 × 7 × 23)

See below for interesting mathematical facts about the number 5152 from the Numbermatics database.

### Names of 5152

• Cardinal: 5152 can be written as Five thousand, one hundred fifty-two.

### Scientific notation

• Scientific notation: 5.152 × 103

### Factors of 5152

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 7
• Sum of prime factors: 32

### Divisors of 5152

• Number of divisors d(n): 24
• Complete list of divisors:
• Sum of all divisors σ(n): 12096
• Sum of proper divisors (its aliquot sum) s(n): 6944
• 5152 is an abundant number, because the sum of its proper divisors (6944) is greater than itself. Its abundance is 1792

### Bases of 5152

• Binary: 10100001000002
• Base-36: 3Z4

### Squares and roots of 5152

• 5152 squared (51522) is 26543104
• 5152 cubed (51523) is 136750071808
• The square root of 5152 is 71.7774337797
• The cube root of 5152 is 17.2713102169

### Scales and comparisons

How big is 5152?
• 5,152 seconds is equal to 1 hour, 25 minutes, 52 seconds.
• To count from 1 to 5,152 would take you about twenty-five 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 5152 cubic inches would be around 1.4 feet tall.

### Recreational maths with 5152

• 5152 backwards is 2515
• The number of decimal digits it has is: 4
• The sum of 5152's digits is 13
• More coming soon!