# 648

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

What does the number 648 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 20 divisors.

648 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of twenty divisors.

## Prime factorization of 648:

### 23 × 34

(2 × 2 × 2 × 3 × 3 × 3 × 3)

See below for interesting mathematical facts about the number 648 from the Numbermatics database.

### Names of 648

• Cardinal: 648 can be written as Six hundred forty-eight.

### Scientific notation

• Scientific notation: 6.48 × 102

### Factors of 648

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 7
• Sum of prime factors: 5

### Divisors of 648

• Number of divisors d(n): 20
• Complete list of divisors:
• Sum of all divisors σ(n): 1815
• Sum of proper divisors (its aliquot sum) s(n): 1167
• 648 is an abundant number, because the sum of its proper divisors (1167) is greater than itself. Its abundance is 519

### Bases of 648

• Binary: 10100010002
• Base-36: I0

### Squares and roots of 648

• 648 squared (6482) is 419904
• 648 cubed (6483) is 272097792
• The square root of 648 is 25.4558441227
• The cube root of 648 is 8.6534974217

### Scales and comparisons

How big is 648?
• 648 seconds is equal to 10 minutes, 48 seconds.
• To count from 1 to 648 would take you about five minutes.

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 648 cubic inches would be around 0.7 feet tall.

### Recreational maths with 648

• 648 backwards is 846
• 648 is a Harshad number.
• The number of decimal digits it has is: 3
• The sum of 648's digits is 18
• More coming soon!