# 48576

## 48,576 is an even composite number composed of four prime numbers multiplied together.

What does the number 48576 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 56 divisors.

48576 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of fifty-six divisors.

## Prime factorization of 48576:

### 26 × 3 × 11 × 23

(2 × 2 × 2 × 2 × 2 × 2 × 3 × 11 × 23)

See below for interesting mathematical facts about the number 48576 from the Numbermatics database.

### Names of 48576

• Cardinal: 48576 can be written as Forty-eight thousand, five hundred seventy-six.

### Scientific notation

• Scientific notation: 4.8576 × 104

### Factors of 48576

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 39

### Divisors of 48576

• Number of divisors d(n): 56
• Complete list of divisors:
• Sum of all divisors σ(n): 146304
• Sum of proper divisors (its aliquot sum) s(n): 97728
• 48576 is an abundant number, because the sum of its proper divisors (97728) is greater than itself. Its abundance is 49152

### Bases of 48576

• Binary: 10111101110000002
• Base-36: 11HC

### Squares and roots of 48576

• 48576 squared (485762) is 2359627776
• 48576 cubed (485763) is 114621278846976
• The square root of 48576 is 220.3996370233
• The cube root of 48576 is 36.4872038713

### Scales and comparisons

How big is 48576?
• 48,576 seconds is equal to 13 hours, 29 minutes, 36 seconds.
• To count from 1 to 48,576 would take you about thirteen 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 48576 cubic inches would be around 3 feet tall.

### Recreational maths with 48576

• 48576 backwards is 67584
• The number of decimal digits it has is: 5
• The sum of 48576's digits is 30
• More coming soon!