# 1648

## 1,648 is an even composite number composed of two prime numbers multiplied together.

What does the number 1648 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 10 divisors.

1648 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of ten divisors.

## Prime factorization of 1648:

### 24 × 103

(2 × 2 × 2 × 2 × 103)

See below for interesting mathematical facts about the number 1648 from the Numbermatics database.

### Names of 1648

• Cardinal: 1648 can be written as One thousand, six hundred forty-eight.

### Scientific notation

• Scientific notation: 1.648 × 103

### Factors of 1648

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 105

### Divisors of 1648

• Number of divisors d(n): 10
• Complete list of divisors:
• Sum of all divisors σ(n): 3224
• Sum of proper divisors (its aliquot sum) s(n): 1576
• 1648 is a deficient number, because the sum of its proper divisors (1576) is less than itself. Its deficiency is 72

### Bases of 1648

• Binary: 110011100002
• Base-36: 19S

### Squares and roots of 1648

• 1648 squared (16482) is 2715904
• 1648 cubed (16483) is 4475809792
• The square root of 1648 is 40.5955662603
• The cube root of 1648 is 11.8118811673

### Scales and comparisons

How big is 1648?
• 1,648 seconds is equal to 27 minutes, 28 seconds.
• To count from 1 to 1,648 would take you about twenty-seven 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 1648 cubic inches would be around 1 feet tall.

### Recreational maths with 1648

• 1648 backwards is 8461
• The number of decimal digits it has is: 4
• The sum of 1648's digits is 19
• More coming soon!