42592

42,592 is an even composite number composed of two prime numbers multiplied together.

What does the number 42592 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 24 divisors.

42592 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of twenty-four divisors.

Prime factorization of 42592:

25 × 113

(2 × 2 × 2 × 2 × 2 × 11 × 11 × 11)

See below for interesting mathematical facts about the number 42592 from the Numbermatics database.

Names of 42592

• Cardinal: 42592 can be written as Forty-two thousand, five hundred ninety-two.

Scientific notation

• Scientific notation: 4.2592 × 104

Factors of 42592

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 8
• Sum of prime factors: 13

Divisors of 42592

• Number of divisors d(n): 24
• Complete list of divisors:
• Sum of all divisors σ(n): 92232
• Sum of proper divisors (its aliquot sum) s(n): 49640
• 42592 is an abundant number, because the sum of its proper divisors (49640) is greater than itself. Its abundance is 7048

Bases of 42592

• Binary: 10100110011000002
• Base-36: WV4

Squares and roots of 42592

• 42592 squared (425922) is 1814078464
• 42592 cubed (425923) is 77265229938688
• The square root of 42592 is 206.3782934323
• The cube root of 42592 is 34.9228231433

Scales and comparisons

How big is 42592?
• 42,592 seconds is equal to 11 hours, 49 minutes, 52 seconds.
• To count from 1 to 42,592 would take you about eleven 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 42592 cubic inches would be around 2.9 feet tall.

Recreational maths with 42592

• 42592 backwards is 29524
• 42592 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 42592's digits is 22
• More coming soon!

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