# 27648

## 27,648 is an even composite number composed of two prime numbers multiplied together.

What does the number 27648 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 44 divisors.

27648 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of forty-four divisors.

## Prime factorization of 27648:

### 210 × 33

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

See below for interesting mathematical facts about the number 27648 from the Numbermatics database.

### Names of 27648

• Cardinal: 27648 can be written as Twenty-seven thousand, six hundred forty-eight.

### Scientific notation

• Scientific notation: 2.7648 × 104

### Factors of 27648

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 5

### Divisors of 27648

• Number of divisors d(n): 44
• Complete list of divisors:
• Sum of all divisors σ(n): 81880
• Sum of proper divisors (its aliquot sum) s(n): 54232
• 27648 is an abundant number, because the sum of its proper divisors (54232) is greater than itself. Its abundance is 26584

### Bases of 27648

• Binary: 1101100000000002
• Base-36: LC0

### Squares and roots of 27648

• 27648 squared (276482) is 764411904
• 27648 cubed (276483) is 21134460321792
• The square root of 27648 is 166.2768775267
• The cube root of 27648 is 30.2381051975

### Scales and comparisons

How big is 27648?
• 27,648 seconds is equal to 7 hours, 40 minutes, 48 seconds.
• To count from 1 to 27,648 would take you about seven 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 27648 cubic inches would be around 2.5 feet tall.

### Recreational maths with 27648

• 27648 backwards is 84672
• 27648 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 27648's digits is 27
• More coming soon!