# 32256

## 32,256 is an even composite number composed of three prime numbers multiplied together.

What does the number 32256 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 60 divisors.

32256 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of sixty divisors.

## Prime factorization of 32256:

### 29 × 32 × 7

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

See below for interesting mathematical facts about the number 32256 from the Numbermatics database.

### Names of 32256

• Cardinal: 32256 can be written as Thirty-two thousand, two hundred fifty-six.

### Scientific notation

• Scientific notation: 3.2256 × 104

### Factors of 32256

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

### Divisors of 32256

• Number of divisors d(n): 60
• Complete list of divisors:
• Sum of all divisors σ(n): 106392
• Sum of proper divisors (its aliquot sum) s(n): 74136
• 32256 is an abundant number, because the sum of its proper divisors (74136) is greater than itself. Its abundance is 41880

### Bases of 32256

• Binary: 1111110000000002
• Base-36: OW0

### Squares and roots of 32256

• 32256 squared (322562) is 1040449536
• 32256 cubed (322563) is 33560740233216
• The square root of 32256 is 179.5995545651
• The cube root of 32256 is 31.8324576631

### Scales and comparisons

How big is 32256?
• 32,256 seconds is equal to 8 hours, 57 minutes, 36 seconds.
• To count from 1 to 32,256 would take you about eight 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 32256 cubic inches would be around 2.7 feet tall.

### Recreational maths with 32256

• 32256 backwards is 65223
• 32256 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 32256's digits is 18
• More coming soon!