42048096 has 24 divisors (see below), whose sum is σ = 110376504. Its totient is φ = 14016000.

The previous prime is 42048079. The next prime is 42048119. The reversal of 42048096 is 69084024.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

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, 218905 + ... + 219096.

It is an arithmetic number, because the mean of its divisors is an integer number (4599021).

Almost surely, 2^42048096 is an apocalyptic number.

It is an amenable number.

42048096 is an abundant number, since it is smaller than the sum of its proper divisors (68328408).

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

42048096 is a wasteful number, since it uses less digits than its factorization.

42048096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438014 (or 438006 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 42048096 is about 6484.4503236589. The cubic root of 42048096 is about 347.7352987759.

It can be divided in two parts, 420 and 48096, that added together give a triangular number (48516 = T₃₁₁).

The spelling of 42048096 in words is "forty-two million, forty-eight thousand, ninety-six".