# 4192

## 4,192 is an even composite number composed of two prime numbers multiplied together.

What does the number 4192 look like?

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

4192 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 4192:

### 25 × 131

(2 × 2 × 2 × 2 × 2 × 131)

See below for interesting mathematical facts about the number 4192 from the Numbermatics database.

### Names of 4192

• Cardinal: 4192 can be written as Four thousand, one hundred ninety-two.

### Scientific notation

• Scientific notation: 4.192 × 103

### Factors of 4192

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 133

### Divisors of 4192

• Number of divisors d(n): 12
• Complete list of divisors:
• Sum of all divisors σ(n): 8316
• Sum of proper divisors (its aliquot sum) s(n): 4124
• 4192 is a deficient number, because the sum of its proper divisors (4124) is less than itself. Its deficiency is 68

### Bases of 4192

• Binary: 10000011000002
• Base-36: 38G

### Squares and roots of 4192

• 4192 squared (41922) is 17572864
• 4192 cubed (41923) is 73665445888
• The square root of 4192 is 64.7456562249
• The cube root of 4192 is 16.1240359579

### Scales and comparisons

How big is 4192?
• 4,192 seconds is equal to 1 hour, 9 minutes, 52 seconds.
• To count from 1 to 4,192 would take you about 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 4192 cubic inches would be around 1.3 feet tall.

### Recreational maths with 4192

• 4192 backwards is 2914
• 4192 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 4192's digits is 16
• More coming soon!