42676032 has 112 divisors (see below), whose sum is σ = 130649472. Its totient is φ = 12042240.

The previous prime is 42676021. The next prime is 42676061. The reversal of 42676032 is 23067624.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 151732 + ... + 152012.

Almost surely, 2^42676032 is an apocalyptic number.

42676032 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42676032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65324736).

42676032 is an abundant number, since it is smaller than the sum of its proper divisors (87973440).

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

42676032 is a wasteful number, since it uses less digits than its factorization.

42676032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 42676032 is about 6532.6894920852. The cubic root of 42676032 is about 349.4577508124.

The spelling of 42676032 in words is "forty-two million, six hundred seventy-six thousand, thirty-two".