# 51200

## 51,200 is an even composite number composed of two prime numbers multiplied together.

What does the number 51200 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 36 divisors.

51200 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of thirty-six divisors.

## Prime factorization of 51200:

### 211 × 52

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

See below for interesting mathematical facts about the number 51200 from the Numbermatics database.

### Names of 51200

• Cardinal: 51200 can be written as Fifty-one thousand, two hundred.

### Scientific notation

• Scientific notation: 5.12 × 104

### Factors of 51200

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 7

### Divisors of 51200

• Number of divisors d(n): 36
• Complete list of divisors:
• Sum of all divisors σ(n): 126945
• Sum of proper divisors (its aliquot sum) s(n): 75745
• 51200 is an abundant number, because the sum of its proper divisors (75745) is greater than itself. Its abundance is 24545

### Bases of 51200

• Binary: 11001000000000002
• Base-36: 13I8

### Squares and roots of 51200

• 51200 squared (512002) is 2621440000
• 51200 cubed (512003) is 134217728000000
• The square root of 51200 is 226.2741699797
• The cube root of 51200 is 37.1327106689

### Scales and comparisons

How big is 51200?
• 51,200 seconds is equal to 14 hours, 13 minutes, 20 seconds.
• To count from 1 to 51,200 would take you about fourteen 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 51200 cubic inches would be around 3.1 feet tall.

### Recreational maths with 51200

• 51200 backwards is 00215
• 51200 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 51200's digits is 8
• More coming soon!