# 46000

## 46,000 is an even composite number composed of three prime numbers multiplied together.

What does the number 46000 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 40 divisors.

46000 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of forty divisors.

## Prime factorization of 46000:

### 24 × 53 × 23

(2 × 2 × 2 × 2 × 5 × 5 × 5 × 23)

See below for interesting mathematical facts about the number 46000 from the Numbermatics database.

### Names of 46000

• Cardinal: 46000 can be written as Forty-six thousand.

### Scientific notation

• Scientific notation: 4.6 × 104

### Factors of 46000

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 8
• Sum of prime factors: 30

### Divisors of 46000

• Number of divisors d(n): 40
• Complete list of divisors:
• Sum of all divisors σ(n): 116064
• Sum of proper divisors (its aliquot sum) s(n): 70064
• 46000 is an abundant number, because the sum of its proper divisors (70064) is greater than itself. Its abundance is 24064

### Bases of 46000

• Binary: 10110011101100002
• Base-36: ZHS

### Squares and roots of 46000

• 46000 squared (460002) is 2116000000
• 46000 cubed (460003) is 97336000000000
• The square root of 46000 is 214.4761058953
• The cube root of 46000 is 35.8304787101

### Scales and comparisons

How big is 46000?
• 46,000 seconds is equal to 12 hours, 46 minutes, 40 seconds.
• To count from 1 to 46,000 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 46000 cubic inches would be around 3 feet tall.

### Recreational maths with 46000

• 46000 backwards is 00064
• 46000 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 46000's digits is 10
• More coming soon!