# 46872

## 46,872 is an even composite number composed of four prime numbers multiplied together.

What does the number 46872 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 64 divisors.

46872 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of sixty-four divisors.

## Prime factorization of 46872:

### 23 × 33 × 7 × 31

(2 × 2 × 2 × 3 × 3 × 3 × 7 × 31)

See below for interesting mathematical facts about the number 46872 from the Numbermatics database.

### Names of 46872

• Cardinal: 46872 can be written as Forty-six thousand, eight hundred seventy-two.

### Scientific notation

• Scientific notation: 4.6872 × 104

### Factors of 46872

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 8
• Sum of prime factors: 43

### Divisors of 46872

• Number of divisors d(n): 64
• Complete list of divisors:
• Sum of all divisors σ(n): 153600
• Sum of proper divisors (its aliquot sum) s(n): 106728
• 46872 is an abundant number, because the sum of its proper divisors (106728) is greater than itself. Its abundance is 59856

### Bases of 46872

• Binary: 10110111000110002
• Base-36: 1060

### Squares and roots of 46872

• 46872 squared (468722) is 2196984384
• 46872 cubed (468723) is 102977052046848
• The square root of 46872 is 216.4994226319
• The cube root of 46872 is 36.0554700415

### Scales and comparisons

How big is 46872?
• 46,872 seconds is equal to 13 hours, 12 seconds.
• To count from 1 to 46,872 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 46872 cubic inches would be around 3 feet tall.

### Recreational maths with 46872

• 46872 backwards is 27864
• 46872 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 46872's digits is 27
• More coming soon!