# 40824

## 40,824 is an even composite number composed of three prime numbers multiplied together.

What does the number 40824 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 56 divisors.

40824 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of fifty-six divisors.

## Prime factorization of 40824:

### 23 × 36 × 7

(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 7)

See below for interesting mathematical facts about the number 40824 from the Numbermatics database.

### Names of 40824

• Cardinal: 40824 can be written as Forty thousand, eight hundred twenty-four.

### Scientific notation

• Scientific notation: 4.0824 × 104

### Factors of 40824

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 12

### Divisors of 40824

• Number of divisors d(n): 56
• Complete list of divisors:
• Sum of all divisors σ(n): 131160
• Sum of proper divisors (its aliquot sum) s(n): 90336
• 40824 is an abundant number, because the sum of its proper divisors (90336) is greater than itself. Its abundance is 49512

### Bases of 40824

• Binary: 10011111011110002
• Base-36: VI0

### Squares and roots of 40824

• 40824 squared (408242) is 1666598976
• 40824 cubed (408243) is 68037236596224
• The square root of 40824 is 202.0494988859
• The cube root of 40824 is 34.4327612899

### Scales and comparisons

How big is 40824?
• 40,824 seconds is equal to 11 hours, 20 minutes, 24 seconds.
• To count from 1 to 40,824 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 40824 cubic inches would be around 2.9 feet tall.

### Recreational maths with 40824

• 40824 backwards is 42804
• 40824 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 40824's digits is 18
• More coming soon!