# 392

## 392 is an even composite number composed of two prime numbers multiplied together.

What does the number 392 look like?

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

392 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 392:

### 23 × 72

(2 × 2 × 2 × 7 × 7)

See below for interesting mathematical facts about the number 392 from the Numbermatics database.

### Names of 392

• Cardinal: 392 can be written as Three hundred ninety-two.

### Scientific notation

• Scientific notation: 3.92 × 102

### Factors of 392

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 9

### Divisors of 392

• Number of divisors d(n): 12
• Complete list of divisors:
• Sum of all divisors σ(n): 855
• Sum of proper divisors (its aliquot sum) s(n): 463
• 392 is an abundant number, because the sum of its proper divisors (463) is greater than itself. Its abundance is 71

### Bases of 392

• Binary: 1100010002
• Base-36: AW

### Squares and roots of 392

• 392 squared (3922) is 153664
• 392 cubed (3923) is 60236288
• The square root of 392 is 19.7989898733
• The cube root of 392 is 7.3186114201

### Scales and comparisons

How big is 392?
• 392 seconds is equal to 6 minutes, 32 seconds.
• To count from 1 to 392 would take you about three 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 392 cubic inches would be around 0.6 feet tall.

### Recreational maths with 392

• 392 backwards is 293
• 392 is a Harshad number.
• The number of decimal digits it has is: 3
• The sum of 392's digits is 14
• More coming soon!