# 32648

## 32,648 is an even composite number composed of four prime numbers multiplied together.

What does the number 32648 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 32 divisors.

32648 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of thirty-two divisors.

## Prime factorization of 32648:

### 23 × 7 × 11 × 53

(2 × 2 × 2 × 7 × 11 × 53)

See below for interesting mathematical facts about the number 32648 from the Numbermatics database.

### Names of 32648

• Cardinal: 32648 can be written as Thirty-two thousand, six hundred forty-eight.

### Scientific notation

• Scientific notation: 3.2648 × 104

### Factors of 32648

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 73

### Divisors of 32648

• Number of divisors d(n): 32
• Complete list of divisors:
• Sum of all divisors σ(n): 77760
• Sum of proper divisors (its aliquot sum) s(n): 45112
• 32648 is an abundant number, because the sum of its proper divisors (45112) is greater than itself. Its abundance is 12464

### Bases of 32648

• Binary: 1111111100010002
• Base-36: P6W

### Squares and roots of 32648

• 32648 squared (326482) is 1065891904
• 32648 cubed (326483) is 34799238881792
• The square root of 32648 is 180.6875756659
• The cube root of 32648 is 31.9608897189

### Scales and comparisons

How big is 32648?
• 32,648 seconds is equal to 9 hours, 4 minutes, 8 seconds.
• To count from 1 to 32,648 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 32648 cubic inches would be around 2.7 feet tall.

### Recreational maths with 32648

• 32648 backwards is 84623
• The number of decimal digits it has is: 5
• The sum of 32648's digits is 23
• More coming soon!