# 1792

## 1,792 is an even composite number composed of two prime numbers multiplied together.

What does the number 1792 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 18 divisors.

1792 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of eighteen divisors.

## Prime factorization of 1792:

### 28 × 7

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7)

See below for interesting mathematical facts about the number 1792 from the Numbermatics database.

### Names of 1792

• Cardinal: 1792 can be written as One thousand, seven hundred ninety-two.

### Scientific notation

• Scientific notation: 1.792 × 103

### Factors of 1792

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 9

### Divisors of 1792

• Number of divisors d(n): 18
• Complete list of divisors:
• Sum of all divisors σ(n): 4088
• Sum of proper divisors (its aliquot sum) s(n): 2296
• 1792 is an abundant number, because the sum of its proper divisors (2296) is greater than itself. Its abundance is 504

### Bases of 1792

• Binary: 111000000002
• Base-36: 1DS

### Squares and roots of 1792

• 1792 squared (17922) is 3211264
• 1792 cubed (17923) is 5754585088
• The square root of 1792 is 42.3320209771
• The cube root of 1792 is 12.1463558877

### Scales and comparisons

How big is 1792?
• 1,792 seconds is equal to 29 minutes, 52 seconds.
• To count from 1 to 1,792 would take you about twenty-nine 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 1792 cubic inches would be around 1 feet tall.

### Recreational maths with 1792

• 1792 backwards is 2971
• The number of decimal digits it has is: 4
• The sum of 1792's digits is 19
• More coming soon!