42029856 has 72 divisors (see below), whose sum is σ = 130397904. Its totient is φ = 12735360.

The previous prime is 42029821. The next prime is 42029863. The reversal of 42029856 is 65892024.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 42029856.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3466 + ... + 9801.

It is an arithmetic number, because the mean of its divisors is an integer number (1811082).

Almost surely, 2^42029856 is an apocalyptic number.

It is an amenable number.

42029856 is an abundant number, since it is smaller than the sum of its proper divisors (88368048).

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

42029856 is a wasteful number, since it uses less digits than its factorization.

42029856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13294 (or 13283 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 42029856 is about 6483.0437296073. The cubic root of 42029856 is about 347.6850102587.

It can be divided in two parts, 420 and 29856, that added together give a square (30276 = 174²).

The spelling of 42029856 in words is "forty-two million, twenty-nine thousand, eight hundred fifty-six".