42929952 has 96 divisors (see below), whose sum is σ = 124467840. Its totient is φ = 12871680.

The previous prime is 42929933. The next prime is 42929963. The reversal of 42929952 is 25992924.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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, 50749 + ... + 51587.

It is an arithmetic number, because the mean of its divisors is an integer number (1296540).

Almost surely, 2^42929952 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 42929952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62233920).

42929952 is an abundant number, since it is smaller than the sum of its proper divisors (81537888).

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

42929952 is a wasteful number, since it uses less digits than its factorization.

42929952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 898 counting only the distinct ones).

The product of its digits is 116640, while the sum is 42.

The square root of 42929952 is about 6552.0952374031. The cubic root of 42929952 is about 350.1494654143.

It can be divided in two parts, 429 and 29952, that added together give a triangular number (30381 = T₂₄₆).

The spelling of 42929952 in words is "forty-two million, nine hundred twenty-nine thousand, nine hundred fifty-two".