# 57648

## 57,648 is an even composite number composed of three prime numbers multiplied together.

What does the number 57648 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 20 divisors.

57648 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty divisors.

## Prime factorization of 57648:

### 24 × 3 × 1201

(2 × 2 × 2 × 2 × 3 × 1201)

See below for interesting mathematical facts about the number 57648 from the Numbermatics database.

### Names of 57648

• Cardinal: 57648 can be written as Fifty-seven thousand, six hundred forty-eight.

### Scientific notation

• Scientific notation: 5.7648 × 104

### Factors of 57648

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 1206

### Divisors of 57648

• Number of divisors d(n): 20
• Complete list of divisors:
• Sum of all divisors σ(n): 149048
• Sum of proper divisors (its aliquot sum) s(n): 91400
• 57648 is an abundant number, because the sum of its proper divisors (91400) is greater than itself. Its abundance is 33752

### Bases of 57648

• Binary: 11100001001100002
• Base-36: 18HC

### Squares and roots of 57648

• 57648 squared (576482) is 3323291904
• 57648 cubed (576483) is 191581131681792
• The square root of 57648 is 240.0999791753
• The cube root of 57648 is 38.6303000655

### Scales and comparisons

How big is 57648?
• 57,648 seconds is equal to 16 hours, 48 seconds.
• To count from 1 to 57,648 would take you about sixteen 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 57648 cubic inches would be around 3.2 feet tall.

### Recreational maths with 57648

• 57648 backwards is 84675
• The number of decimal digits it has is: 5
• The sum of 57648's digits is 30
• More coming soon!