# 48972

## 48,972 is an even composite number composed of five prime numbers multiplied together.

What does the number 48972 look like?

This visualization shows the relationship between its 5 prime factors (large circles) and 48 divisors.

48972 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of forty-eight divisors.

## Prime factorization of 48972:

### 22 × 3 × 7 × 11 × 53

(2 × 2 × 3 × 7 × 11 × 53)

See below for interesting mathematical facts about the number 48972 from the Numbermatics database.

### Names of 48972

• Cardinal: 48972 can be written as Forty-eight thousand, nine hundred seventy-two.

### Scientific notation

• Scientific notation: 4.8972 × 104

### Factors of 48972

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 76

### Divisors of 48972

• Number of divisors d(n): 48
• Complete list of divisors:
• Sum of all divisors σ(n): 145152
• Sum of proper divisors (its aliquot sum) s(n): 96180
• 48972 is an abundant number, because the sum of its proper divisors (96180) is greater than itself. Its abundance is 47208

### Bases of 48972

• Binary: 10111111010011002
• Base-36: 11SC

### Squares and roots of 48972

• 48972 squared (489722) is 2398256784
• 48972 cubed (489723) is 117447431226048
• The square root of 48972 is 221.2961816209
• The cube root of 48972 is 36.5860856661

### Scales and comparisons

How big is 48972?
• 48,972 seconds is equal to 13 hours, 36 minutes, 12 seconds.
• To count from 1 to 48,972 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 48972 cubic inches would be around 3 feet tall.

### Recreational maths with 48972

• 48972 backwards is 27984
• The number of decimal digits it has is: 5
• The sum of 48972's digits is 30
• More coming soon!