# 32448

## 32,448 is an even composite number composed of three prime numbers multiplied together.

What does the number 32448 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 42 divisors.

32448 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of forty-two divisors.

## Prime factorization of 32448:

### 26 × 3 × 132

(2 × 2 × 2 × 2 × 2 × 2 × 3 × 13 × 13)

See below for interesting mathematical facts about the number 32448 from the Numbermatics database.

### Names of 32448

• Cardinal: 32448 can be written as Thirty-two thousand, four hundred forty-eight.

### Scientific notation

• Scientific notation: 3.2448 × 104

### Factors of 32448

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 18

### Divisors of 32448

• Number of divisors d(n): 42
• Complete list of divisors:
• Sum of all divisors σ(n): 92964
• Sum of proper divisors (its aliquot sum) s(n): 60516
• 32448 is an abundant number, because the sum of its proper divisors (60516) is greater than itself. Its abundance is 28068

### Bases of 32448

• Binary: 1111110110000002
• Base-36: P1C

### Squares and roots of 32448

• 32448 squared (324482) is 1052872704
• 32448 cubed (324483) is 34163613499392
• The square root of 32448 is 180.1332839871
• The cube root of 32448 is 31.8954923975

### Scales and comparisons

How big is 32448?
• 32,448 seconds is equal to 9 hours, 48 seconds.
• To count from 1 to 32,448 would take you about nine 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 32448 cubic inches would be around 2.7 feet tall.

### Recreational maths with 32448

• 32448 backwards is 84423
• The number of decimal digits it has is: 5
• The sum of 32448's digits is 21
• More coming soon!