# 49248

## 49,248 is an even composite number composed of three prime numbers multiplied together.

What does the number 49248 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 60 divisors.

49248 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of sixty divisors.

## Prime factorization of 49248:

### 25 × 34 × 19

(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 19)

See below for interesting mathematical facts about the number 49248 from the Numbermatics database.

### Names of 49248

• Cardinal: 49248 can be written as Forty-nine thousand, two hundred forty-eight.

### Scientific notation

• Scientific notation: 4.9248 × 104

### Factors of 49248

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 24

### Divisors of 49248

• Number of divisors d(n): 60
• Complete list of divisors:
• Sum of all divisors σ(n): 152460
• Sum of proper divisors (its aliquot sum) s(n): 103212
• 49248 is an abundant number, because the sum of its proper divisors (103212) is greater than itself. Its abundance is 53964

### Bases of 49248

• Binary: 11000000011000002
• Base-36: 1200

### Squares and roots of 49248

• 49248 squared (492482) is 2425365504
• 49248 cubed (492483) is 119444400340992
• The square root of 49248 is 221.9189041069
• The cube root of 49248 is 36.6546884657

### Scales and comparisons

How big is 49248?
• 49,248 seconds is equal to 13 hours, 40 minutes, 48 seconds.
• To count from 1 to 49,248 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 49248 cubic inches would be around 3.1 feet tall.

### Recreational maths with 49248

• 49248 backwards is 84294
• 49248 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 49248's digits is 27
• More coming soon!