# 90825

## 90,825 is an odd composite number composed of four prime numbers multiplied together.

What does the number 90825 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 24 divisors.

90825 is an odd composite number. It is composed of four distinct prime numbers multiplied together. It has a total of twenty-four divisors.

## Prime factorization of 90825:

### 3 × 52 × 7 × 173

(3 × 5 × 5 × 7 × 173)

See below for interesting mathematical facts about the number 90825 from the Numbermatics database.

### Names of 90825

• Cardinal: 90825 can be written as Ninety thousand, eight hundred twenty-five.

### Scientific notation

• Scientific notation: 9.0825 × 104

### Factors of 90825

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 188

### Divisors of 90825

• Number of divisors d(n): 24
• Complete list of divisors:
• Sum of all divisors σ(n): 172608
• Sum of proper divisors (its aliquot sum) s(n): 81783
• 90825 is a deficient number, because the sum of its proper divisors (81783) is less than itself. Its deficiency is 9042

### Bases of 90825

• Binary: 101100010110010012
• Base-36: 1Y2X

### Squares and roots of 90825

• 90825 squared (908252) is 8249180625
• 90825 cubed (908253) is 749231830265625
• The square root of 90825 is 301.3718633183
• The cube root of 90825 is 44.9505629923

### Scales and comparisons

How big is 90825?
• 90,825 seconds is equal to 1 day, 1 hour, 13 minutes, 45 seconds.
• To count from 1 to 90,825 would take you about thirteen minutes.

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 90825 cubic inches would be around 3.7 feet tall.

### Recreational maths with 90825

• 90825 backwards is 52809
• The number of decimal digits it has is: 5
• The sum of 90825's digits is 24
• More coming soon!