42592 has 24 divisors (see below), whose sum is σ = 92232. Its totient is φ = 19360.

The previous prime is 42589. The next prime is 42611. The reversal of 42592 is 29524.

Multipling 42592 by its sum of digits (22), we get a square (937024 = 968^{2}).

42592 divided by its sum of digits (22) gives a square (1936 = 44^{2}).

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

42592 is nontrivially palindromic in base 5.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3867 + ... + 3877.

It is an arithmetic number, because the mean of its divisors is an integer number (3843).

2^{42592} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46116).

42592 is an abundant number, since it is smaller than the sum of its proper divisors (49640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42592 is an equidigital number, since it uses as much as digits as its factorization.

42592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43 (or 13 counting only the distinct ones).

The product of its digits is 720, while the sum is 22.

The square root of 42592 is about 206.3782934322. The cubic root of 42592 is about 34.9228231433.

The spelling of 42592 in words is "forty-two thousand, five hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1331 1936 2662 3872 5324 10648 21296 42592

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