# 48675200

## 48,675,200 is an even composite number composed of five prime numbers multiplied together.

What does the number 48675200 look like?

This visualization shows the relationship between its 5 prime factors (large circles) and 192 divisors.

48675200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.

## Prime factorization of 48675200:

### 27 × 52 × 7 × 41 × 53

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 41 × 53)

See below for interesting mathematical facts about the number 48675200 from the Numbermatics database.

### Names of 48675200

• Cardinal: 48675200 can be written as Forty-eight million, six hundred seventy-five thousand, two hundred.

### Scientific notation

• Scientific notation: 4.86752 × 107

### Factors of 48675200

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 108

### Divisors of 48675200

• Number of divisors d(n): 192
• Complete list of divisors:
• Sum of all divisors σ(n): 143428320
• Sum of proper divisors (its aliquot sum) s(n): 94753120
• 48675200 is an abundant number, because the sum of its proper divisors (94753120) is greater than itself. Its abundance is 46077920

### Bases of 48675200

• Binary: 101110011010111001100000002
• Base-36: SZA0W

### Squares and roots of 48675200

• 48675200 squared (486752002) is 2369275095040000
• 48675200 cubed (486752003) is 115324939106091008000000
• The square root of 48675200 is 6976.7614263353
• The cube root of 48675200 is 365.1202456137

### Scales and comparisons

How big is 48675200?
• 48,675,200 seconds is equal to 28 weeks, 3 days, 8 hours, 53 minutes, 20 seconds.
• To count from 1 to 48,675,200 would take you about two years!

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 48675200 cubic inches would be around 30.4 feet tall.

### Recreational maths with 48675200

• 48675200 backwards is 00257684
• 48675200 is a Harshad number.
• The number of decimal digits it has is: 8
• The sum of 48675200's digits is 32
• More coming soon!