42126032 has 20 divisors (see below), whose sum is σ = 87898020. Its totient is φ = 19442688.

The previous prime is 42126031. The next prime is 42126107. The reversal of 42126032 is 23062124.

It can be written as a sum of positive squares in 2 ways, for example, as 15335056 + 26790976 = 3916^2 + 5176^2 .

It is a junction number, because it is equal to n+sod(n) for n = 42125995 and 42126013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42126031) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 101057 + ... + 101472.

It is an arithmetic number, because the mean of its divisors is an integer number (4394901).

Almost surely, 2^42126032 is an apocalyptic number.

It is an amenable number.

42126032 is an abundant number, since it is smaller than the sum of its proper divisors (45771988).

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

42126032 is a wasteful number, since it uses less digits than its factorization.

42126032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202550 (or 202544 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 42126032 is about 6490.4569946961. The cubic root of 42126032 is about 347.9500082326.

Adding to 42126032 its reverse (23062124), we get a palindrome (65188156).

The spelling of 42126032 in words is "forty-two million, one hundred twenty-six thousand, thirty-two".