# 4536

## 4,536 is an even composite number composed of three prime numbers multiplied together.

What does the number 4536 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 40 divisors.

4536 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of forty divisors.

## Prime factorization of 4536:

### 23 × 34 × 7

(2 × 2 × 2 × 3 × 3 × 3 × 3 × 7)

See below for interesting mathematical facts about the number 4536 from the Numbermatics database.

### Names of 4536

• Cardinal: 4536 can be written as Four thousand, five hundred thirty-six.

### Scientific notation

• Scientific notation: 4.536 × 103

### Factors of 4536

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 8
• Sum of prime factors: 12

### Divisors of 4536

• Number of divisors d(n): 40
• Complete list of divisors:
• Sum of all divisors σ(n): 14520
• Sum of proper divisors (its aliquot sum) s(n): 9984
• 4536 is an abundant number, because the sum of its proper divisors (9984) is greater than itself. Its abundance is 5448

### Bases of 4536

• Binary: 10001101110002
• Base-36: 3I0

### Squares and roots of 4536

• 4536 squared (45362) is 20575296
• 4536 cubed (45363) is 93329542656
• The square root of 4536 is 67.3498329619
• The cube root of 4536 is 16.5535450583

### Scales and comparisons

How big is 4536?
• 4,536 seconds is equal to 15 minutes, 36 seconds.
• To count from 1 to 4,536 would take you about fifteen 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 4536 cubic inches would be around 1.4 feet tall.

### Recreational maths with 4536

• 4536 backwards is 6354
• 4536 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 4536's digits is 18
• More coming soon!