# 45264

## 45,264 is an even composite number composed of four prime numbers multiplied together.

What does the number 45264 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 40 divisors.

45264 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of forty divisors.

## Prime factorization of 45264:

### 24 × 3 × 23 × 41

(2 × 2 × 2 × 2 × 3 × 23 × 41)

See below for interesting mathematical facts about the number 45264 from the Numbermatics database.

### Names of 45264

• Cardinal: 45264 can be written as Forty-five thousand, two hundred sixty-four.

### Scientific notation

• Scientific notation: 4.5264 × 104

### Factors of 45264

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 7
• Sum of prime factors: 69

### Divisors of 45264

• Number of divisors d(n): 40
• Complete list of divisors:
• Sum of all divisors σ(n): 124992
• Sum of proper divisors (its aliquot sum) s(n): 79728
• 45264 is an abundant number, because the sum of its proper divisors (79728) is greater than itself. Its abundance is 34464

### Bases of 45264

• Binary: 10110000110100002
• Base-36: YXC

### Squares and roots of 45264

• 45264 squared (452642) is 2048829696
• 45264 cubed (452643) is 92738227359744
• The square root of 45264 is 212.7533783515
• The cube root of 45264 is 35.6383544885

### Scales and comparisons

How big is 45264?
• 45,264 seconds is equal to 12 hours, 34 minutes, 24 seconds.
• To count from 1 to 45,264 would take you about twelve hours.

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 45264 cubic inches would be around 3 feet tall.

### Recreational maths with 45264

• 45264 backwards is 46254
• The number of decimal digits it has is: 5
• The sum of 45264's digits is 21
• More coming soon!