42496992 has 144 divisors (see below), whose sum is σ = 127960560. Its totient is φ = 13363200.

The previous prime is 42496981. The next prime is 42496999. The reversal of 42496992 is 29969424.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42496999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 696642 + ... + 696702.

It is an arithmetic number, because the mean of its divisors is an integer number (888615).

Almost surely, 2^42496992 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 42496992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63980280).

42496992 is an abundant number, since it is smaller than the sum of its proper divisors (85463568).

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

42496992 is a wasteful number, since it uses less digits than its factorization.

42496992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 166 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 42496992 is about 6518.9716980518. The cubic root of 42496992 is about 348.9683690405.

The spelling of 42496992 in words is "forty-two million, four hundred ninety-six thousand, nine hundred ninety-two".