# 46464

## 46,464 is an even composite number composed of three prime numbers multiplied together.

What does the number 46464 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 48 divisors.

46464 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of forty-eight divisors.

## Prime factorization of 46464:

### 27 × 3 × 112

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 11 × 11)

See below for interesting mathematical facts about the number 46464 from the Numbermatics database.

### Names of 46464

• Cardinal: 46464 can be written as Forty-six thousand, four hundred sixty-four.

### Scientific notation

• Scientific notation: 4.6464 × 104

### Factors of 46464

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 16

### Divisors of 46464

• Number of divisors d(n): 48
• Complete list of divisors:
• Sum of all divisors σ(n): 135660
• Sum of proper divisors (its aliquot sum) s(n): 89196
• 46464 is an abundant number, because the sum of its proper divisors (89196) is greater than itself. Its abundance is 42732

### Bases of 46464

• Binary: 10110101100000002
• Base-36: ZUO

### Squares and roots of 46464

• 46464 squared (464642) is 2158903296
• 46464 cubed (464643) is 100311282745344
• The square root of 46464 is 215.5550973649
• The cube root of 46464 is 35.9505493883

### Scales and comparisons

How big is 46464?
• 46,464 seconds is equal to 12 hours, 54 minutes, 24 seconds.
• To count from 1 to 46,464 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 46464 cubic inches would be around 3 feet tall.

### Recreational maths with 46464

• 46464 is the same when its digits are reversed! That makes it a palindromic number.
• 46464 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 46464's digits is 24
• More coming soon!