# 54432

## 54,432 is an even composite number composed of three prime numbers multiplied together.

What does the number 54432 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 72 divisors.

54432 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of seventy-two divisors.

## Prime factorization of 54432:

### 25 × 35 × 7

(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 7)

See below for interesting mathematical facts about the number 54432 from the Numbermatics database.

### Names of 54432

• Cardinal: 54432 can be written as Fifty-four thousand, four hundred thirty-two.

### Scientific notation

• Scientific notation: 5.4432 × 104

### Factors of 54432

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 12

### Divisors of 54432

• Number of divisors d(n): 72
• Complete list of divisors:
• Sum of all divisors σ(n): 183456
• Sum of proper divisors (its aliquot sum) s(n): 129024
• 54432 is an abundant number, because the sum of its proper divisors (129024) is greater than itself. Its abundance is 74592

### Bases of 54432

• Binary: 11010100101000002
• Base-36: 1600

### Squares and roots of 54432

• 54432 squared (544322) is 2962842624
• 54432 cubed (544323) is 161273449709568
• The square root of 54432 is 233.3066651427
• The cube root of 54432 is 37.8981575859

### Scales and comparisons

How big is 54432?
• 54,432 seconds is equal to 15 hours, 7 minutes, 12 seconds.
• To count from 1 to 54,432 would take you about fifteen 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 54432 cubic inches would be around 3.2 feet tall.

### Recreational maths with 54432

• 54432 backwards is 23445
• 54432 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 54432's digits is 18
• More coming soon!