42516432 has 60 divisors (see below), whose sum is σ = 135988320. Its totient is φ = 12147264.

The previous prime is 42516413. The next prime is 42516437. The reversal of 42516432 is 23461524.

42516432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 42516396 and 42516405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42516437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20082 + ... + 22097.

It is an arithmetic number, because the mean of its divisors is an integer number (2266472).

Almost surely, 2^42516432 is an apocalyptic number.

42516432 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

42516432 is an abundant number, since it is smaller than the sum of its proper divisors (93471888).

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

42516432 is a wasteful number, since it uses less digits than its factorization.

42516432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42200 (or 42191 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 42516432 is about 6520.4625602790. The cubic root of 42516432 is about 349.0215721074.

Adding to 42516432 its reverse (23461524), we get a palindrome (65977956).

The spelling of 42516432 in words is "forty-two million, five hundred sixteen thousand, four hundred thirty-two".