# 56448

## 56,448 is an even composite number composed of three prime numbers multiplied together.

What does the number 56448 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 72 divisors.

56448 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of seventy-two divisors.

## Prime factorization of 56448:

### 27 × 32 × 72

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

See below for interesting mathematical facts about the number 56448 from the Numbermatics database.

### Names of 56448

• Cardinal: 56448 can be written as Fifty-six thousand, four hundred forty-eight.

### Scientific notation

• Scientific notation: 5.6448 × 104

### Factors of 56448

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 12

### Divisors of 56448

• Number of divisors d(n): 72
• Complete list of divisors:
• Sum of all divisors σ(n): 188955
• Sum of proper divisors (its aliquot sum) s(n): 132507
• 56448 is an abundant number, because the sum of its proper divisors (132507) is greater than itself. Its abundance is 76059

### Bases of 56448

• Binary: 11011100100000002
• Base-36: 17K0

### Squares and roots of 56448

• 56448 squared (564482) is 3186376704
• 56448 cubed (564483) is 179864592187392
• The square root of 56448 is 237.5878784787
• The cube root of 56448 is 38.3603757933

### Scales and comparisons

How big is 56448?
• 56,448 seconds is equal to 15 hours, 40 minutes, 48 seconds.
• To count from 1 to 56,448 would take you about fifteen 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 56448 cubic inches would be around 3.2 feet tall.

### Recreational maths with 56448

• 56448 backwards is 84465
• The number of decimal digits it has is: 5
• The sum of 56448's digits is 27
• More coming soon!