# 1952

## 1,952 is an even composite number composed of two prime numbers multiplied together.

What does the number 1952 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 12 divisors.

1952 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of twelve divisors.

## Prime factorization of 1952:

### 25 × 61

(2 × 2 × 2 × 2 × 2 × 61)

See below for interesting mathematical facts about the number 1952 from the Numbermatics database.

### Names of 1952

• Cardinal: 1952 can be written as One thousand, nine hundred fifty-two.

### Scientific notation

• Scientific notation: 1.952 × 103

### Factors of 1952

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 63

### Divisors of 1952

• Number of divisors d(n): 12
• Complete list of divisors:
• Sum of all divisors σ(n): 3906
• Sum of proper divisors (its aliquot sum) s(n): 1954
• 1952 is an abundant number, because the sum of its proper divisors (1954) is greater than itself. Its abundance is 2

### Bases of 1952

• Binary: 111101000002
• Base-36: 1I8

### Squares and roots of 1952

• 1952 squared (19522) is 3810304
• 1952 cubed (19523) is 7437713408
• The square root of 1952 is 44.1814440687
• The cube root of 1952 is 12.4975995391

### Scales and comparisons

How big is 1952?
• 1,952 seconds is equal to 32 minutes, 32 seconds.
• To count from 1 to 1,952 would take you about thirty-two 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 1952 cubic inches would be around 1 feet tall.

### Recreational maths with 1952

• 1952 backwards is 2591
• The number of decimal digits it has is: 4
• The sum of 1952's digits is 17
• More coming soon!