42592104 has 48 divisors (see below), whose sum is σ = 116515620. Its totient is φ = 14054400.

The previous prime is 42592103. The next prime is 42592111. The reversal of 42592104 is 40129524.

42592104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 30272004 + 12320100 = 5502^2 + 3510^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42592103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4344 + ... + 10200.

Almost surely, 2^42592104 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 42592104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58257810).

42592104 is an abundant number, since it is smaller than the sum of its proper divisors (73923516).

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

42592104 is a wasteful number, since it uses less digits than its factorization.

42592104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5970 (or 5963 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 42592104 is about 6526.2626364559. The cubic root of 42592104 is about 349.2285156781.

It can be divided in two parts, 425 and 92104, that added together give a palindrome (92529).

The spelling of 42592104 in words is "forty-two million, five hundred ninety-two thousand, one hundred four".