# 42400

## 42,400 is an even composite number composed of three prime numbers multiplied together.

What does the number 42400 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 36 divisors.

42400 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of thirty-six divisors.

## Prime factorization of 42400:

### 25 × 52 × 53

(2 × 2 × 2 × 2 × 2 × 5 × 5 × 53)

See below for interesting mathematical facts about the number 42400 from the Numbermatics database.

### Names of 42400

• Cardinal: 42400 can be written as Forty-two thousand, four hundred.

### Scientific notation

• Scientific notation: 4.24 × 104

### Factors of 42400

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 8
• Sum of prime factors: 60

### Divisors of 42400

• Number of divisors d(n): 36
• Complete list of divisors:
• Sum of all divisors σ(n): 105462
• Sum of proper divisors (its aliquot sum) s(n): 63062
• 42400 is an abundant number, because the sum of its proper divisors (63062) is greater than itself. Its abundance is 20662

### Bases of 42400

• Binary: 10100101101000002
• Base-36: WPS

### Squares and roots of 42400

• 42400 squared (424002) is 1797760000
• 42400 cubed (424003) is 76225024000000
• The square root of 42400 is 205.9126028197
• The cube root of 42400 is 34.8702680253

### Scales and comparisons

How big is 42400?
• 42,400 seconds is equal to 11 hours, 46 minutes, 40 seconds.
• To count from 1 to 42,400 would take you about eleven hours.

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 42400 cubic inches would be around 2.9 feet tall.

### Recreational maths with 42400

• 42400 backwards is 00424
• 42400 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 42400's digits is 10
• More coming soon!