42512096 has 96 divisors (see below), whose sum is σ = 97977600. Its totient is φ = 17966080.

The previous prime is 42512089. The next prime is 42512123. The reversal of 42512096 is 69021524.

It is a happy number.

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, 477620 + ... + 477708.

It is an arithmetic number, because the mean of its divisors is an integer number (1020600).

Almost surely, 2^42512096 is an apocalyptic number.

42512096 is a gapful number since it is divisible by the number (46) 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 42512096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48988800).

42512096 is an abundant number, since it is smaller than the sum of its proper divisors (55465504).

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

42512096 is a wasteful number, since it uses less digits than its factorization.

42512096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 42512096 is about 6520.1300600525. The cubic root of 42512096 is about 349.0097068205.

It can be divided in two parts, 425 and 12096, that added together give a palindrome (12521).

The spelling of 42512096 in words is "forty-two million, five hundred twelve thousand, ninety-six".