# 46800

## 46,800 is an even composite number composed of four prime numbers multiplied together.

What does the number 46800 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 90 divisors.

46800 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of ninety divisors.

## Prime factorization of 46800:

### 24 × 32 × 52 × 13

(2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 13)

See below for interesting mathematical facts about the number 46800 from the Numbermatics database.

### Names of 46800

• Cardinal: 46800 can be written as Forty-six thousand, eight hundred.

### Scientific notation

• Scientific notation: 4.68 × 104

### Factors of 46800

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 23

### Divisors of 46800

• Number of divisors d(n): 90
• Complete list of divisors:
• Sum of all divisors σ(n): 174902
• Sum of proper divisors (its aliquot sum) s(n): 128102
• 46800 is an abundant number, because the sum of its proper divisors (128102) is greater than itself. Its abundance is 81302

### Bases of 46800

• Binary: 10110110110100002
• Base-36: 1040

### Squares and roots of 46800

• 46800 squared (468002) is 2190240000
• 46800 cubed (468003) is 102503232000000
• The square root of 46800 is 216.3330765279
• The cube root of 46800 is 36.0369989983

### Scales and comparisons

How big is 46800?
• 46,800 seconds is equal to 13 hours.
• To count from 1 to 46,800 would take you about thirteen 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 46800 cubic inches would be around 3 feet tall.

### Recreational maths with 46800

• 46800 backwards is 00864
• 46800 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 46800's digits is 18
• More coming soon!