# 2052

## 2,052 is an even composite number composed of three prime numbers multiplied together.

What does the number 2052 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 24 divisors.

2052 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty-four divisors.

## Prime factorization of 2052:

### 22 × 33 × 19

(2 × 2 × 3 × 3 × 3 × 19)

See below for interesting mathematical facts about the number 2052 from the Numbermatics database.

### Names of 2052

• Cardinal: 2052 can be written as Two thousand and fifty-two.

### Scientific notation

• Scientific notation: 2.052 × 103

### Factors of 2052

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 24

### Divisors of 2052

• Number of divisors d(n): 24
• Complete list of divisors:
• Sum of all divisors σ(n): 5600
• Sum of proper divisors (its aliquot sum) s(n): 3548
• 2052 is an abundant number, because the sum of its proper divisors (3548) is greater than itself. Its abundance is 1496

### Bases of 2052

• Binary: 1000000001002
• Base-36: 1L0

### Squares and roots of 2052

• 2052 squared (20522) is 4210704
• 2052 cubed (20523) is 8640364608
• The square root of 2052 is 45.2990066117
• The cube root of 2052 is 12.7074707527

### Scales and comparisons

How big is 2052?
• 2,052 seconds is equal to 34 minutes, 12 seconds.
• To count from 1 to 2,052 would take you about thirty-four 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 2052 cubic inches would be around 1.1 feet tall.

### Recreational maths with 2052

• 2052 backwards is 2502
• 2052 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 2052's digits is 9
• More coming soon!