42046592 has 64 divisors (see below), whose sum is σ = 96647040. Its totient is φ = 17848320.

The previous prime is 42046531. The next prime is 42046619. The reversal of 42046592 is 29564024.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 149492 + ... + 149772.

It is an arithmetic number, because the mean of its divisors is an integer number (1510110).

Almost surely, 2^42046592 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 42046592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48323520).

42046592 is an abundant number, since it is smaller than the sum of its proper divisors (54600448).

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

42046592 is a wasteful number, since it uses less digits than its factorization.

42046592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 42046592 is about 6484.3343528847. The cubic root of 42046592 is about 347.7311527291.

The spelling of 42046592 in words is "forty-two million, forty-six thousand, five hundred ninety-two".