41292032 has 36 divisors (see below), whose sum is σ = 83290956. Its totient is φ = 20428800.

The previous prime is 41292029. The next prime is 41292047. The reversal of 41292032 is 23029214.

It can be written as a sum of positive squares in 2 ways, for example, as 26050816 + 15241216 = 5104^2 + 3904^2 .

It is a junction number, because it is equal to n+sod(n) for n = 41291989 and 41292007.

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, 25058 + ... + 26654.

Almost surely, 2^41292032 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 41292032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41645478).

41292032 is an abundant number, since it is smaller than the sum of its proper divisors (41998924).

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

41292032 is a wasteful number, since it uses less digits than its factorization.

41292032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1714 (or 1700 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 41292032 is about 6425.8876429642. The cubic root of 41292032 is about 345.6384787975.

The spelling of 41292032 in words is "forty-one million, two hundred ninety-two thousand, thirty-two".