# 42504

## 42,504 is an even composite number composed of five prime numbers multiplied together.

What does the number 42504 look like?

This visualization shows the relationship between its 5 prime factors (large circles) and 64 divisors.

42504 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of sixty-four divisors.

## Prime factorization of 42504:

### 23 × 3 × 7 × 11 × 23

(2 × 2 × 2 × 3 × 7 × 11 × 23)

See below for interesting mathematical facts about the number 42504 from the Numbermatics database.

### Names of 42504

• Cardinal: 42504 can be written as Forty-two thousand, five hundred four.

### Scientific notation

• Scientific notation: 4.2504 × 104

### Factors of 42504

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 7
• Sum of prime factors: 46

### Divisors of 42504

• Number of divisors d(n): 64
• Complete list of divisors:
• Sum of all divisors σ(n): 138240
• Sum of proper divisors (its aliquot sum) s(n): 95736
• 42504 is an abundant number, because the sum of its proper divisors (95736) is greater than itself. Its abundance is 53232

### Bases of 42504

• Binary: 10100110000010002
• Base-36: WSO

### Squares and roots of 42504

• 42504 squared (425042) is 1806590016
• 42504 cubed (425043) is 76787302040064
• The square root of 42504 is 206.1649824777
• The cube root of 42504 is 34.8987550287

### Scales and comparisons

How big is 42504?
• 42,504 seconds is equal to 11 hours, 48 minutes, 24 seconds.
• To count from 1 to 42,504 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 42504 cubic inches would be around 2.9 feet tall.

### Recreational maths with 42504

• 42504 backwards is 40524
• The number of decimal digits it has is: 5
• The sum of 42504's digits is 15
• More coming soon!