42829632 has 42 divisors (see below), whose sum is σ = 122765058. Its totient is φ = 14276352.

The previous prime is 42829627. The next prime is 42829651. The reversal of 42829632 is 23692824.

It can be written as a sum of positive squares in only one way, i.e., 26378496 + 16451136 = 5136^2 + 4056^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36603 + ... + 37754.

Almost surely, 2^42829632 is an apocalyptic number.

It is an amenable number.

42829632 is an abundant number, since it is smaller than the sum of its proper divisors (79935426).

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

42829632 is a wasteful number, since it uses less digits than its factorization.

42829632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74375 (or 74362 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 42829632 is about 6544.4351933532. The cubic root of 42829632 is about 349.8765060914.

The spelling of 42829632 in words is "forty-two million, eight hundred twenty-nine thousand, six hundred thirty-two".