# 4608

## 4,608 is an even composite number composed of two prime numbers multiplied together.

What does the number 4608 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 30 divisors.

4608 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of thirty divisors.

## Prime factorization of 4608:

### 29 × 32

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

See below for interesting mathematical facts about the number 4608 from the Numbermatics database.

### Names of 4608

• Cardinal: 4608 can be written as Four thousand, six hundred eight.

### Scientific notation

• Scientific notation: 4.608 × 103

### Factors of 4608

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 5

### Divisors of 4608

• Number of divisors d(n): 30
• Complete list of divisors:
• Sum of all divisors σ(n): 13299
• Sum of proper divisors (its aliquot sum) s(n): 8691
• 4608 is an abundant number, because the sum of its proper divisors (8691) is greater than itself. Its abundance is 4083

### Bases of 4608

• Binary: 10010000000002
• Base-36: 3K0

### Squares and roots of 4608

• 4608 squared (46082) is 21233664
• 4608 cubed (46083) is 97844723712
• The square root of 4608 is 67.8822509939
• The cube root of 4608 is 16.6406705843

### Scales and comparisons

How big is 4608?
• 4,608 seconds is equal to 1 hour, 16 minutes, 48 seconds.
• To count from 1 to 4,608 would take you about sixteen minutes.

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 4608 cubic inches would be around 1.4 feet tall.

### Recreational maths with 4608

• 4608 backwards is 8064
• 4608 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 4608's digits is 18
• More coming soon!