# 44800

## 44,800 is an even composite number composed of three prime numbers multiplied together.

What does the number 44800 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 54 divisors.

44800 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of fifty-four divisors.

## Prime factorization of 44800:

### 28 × 52 × 7

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7)

See below for interesting mathematical facts about the number 44800 from the Numbermatics database.

### Names of 44800

• Cardinal: 44800 can be written as Forty-four thousand, eight hundred.

### Scientific notation

• Scientific notation: 4.48 × 104

### Factors of 44800

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 14

### Divisors of 44800

• Number of divisors d(n): 54
• Complete list of divisors:
• Sum of all divisors σ(n): 126728
• Sum of proper divisors (its aliquot sum) s(n): 81928
• 44800 is an abundant number, because the sum of its proper divisors (81928) is greater than itself. Its abundance is 37128

### Bases of 44800

• Binary: 10101111000000002
• Base-36: YKG

### Squares and roots of 44800

• 44800 squared (448002) is 2007040000
• 44800 cubed (448003) is 89915392000000
• The square root of 44800 is 211.6601048851
• The cube root of 44800 is 35.5161600697

### Scales and comparisons

How big is 44800?
• 44,800 seconds is equal to 12 hours, 26 minutes, 40 seconds.
• To count from 1 to 44,800 would take you about twelve 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 44800 cubic inches would be around 3 feet tall.

### Recreational maths with 44800

• 44800 backwards is 00844
• 44800 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 44800's digits is 16
• More coming soon!