# 46656

## 46,656 is an even composite number composed of two prime numbers multiplied together.

What does the number 46656 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 49 divisors.

46656 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of forty-nine divisors.

## Prime factorization of 46656:

### 26 × 36

(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3)

See below for interesting mathematical facts about the number 46656 from the Numbermatics database.

### Names of 46656

• Cardinal: 46656 can be written as Forty-six thousand, six hundred fifty-six.

### Scientific notation

• Scientific notation: 4.6656 × 104

### Factors of 46656

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 5

### Divisors of 46656

• Number of divisors d(n): 49
• Complete list of divisors:
• Sum of all divisors σ(n): 138811
• Sum of proper divisors (its aliquot sum) s(n): 92155
• 46656 is an abundant number, because the sum of its proper divisors (92155) is greater than itself. Its abundance is 45499

### Bases of 46656

• Binary: 10110110010000002
• Base-36: 1000

### Squares and roots of 46656

• 46656 squared (466562) is 2176782336
• 46656 cubed (466563) is 101559956668416
• 46656 is a perfect square number. Its square root is 216
• 46656 is a perfect cube number. Its cube root is 36
• Being both a perfect square and a perfect cube, 46656 is also a perfect sixth number.

### Scales and comparisons

How big is 46656?
• 46,656 seconds is equal to 12 hours, 57 minutes, 36 seconds.
• To count from 1 to 46,656 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 46656 cubic inches would be around 3 feet tall.

### Recreational maths with 46656

• 46656 backwards is 65664
• 46656 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 46656's digits is 27
• More coming soon!