42006500 has 48 divisors (see below), whose sum is σ = 94938480. Its totient is φ = 16217600.

The previous prime is 42006493. The next prime is 42006551. The reversal of 42006500 is 560024.

42006500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 22221796 + 19784704 = 4714^2 + 4448^2 .

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 13052 + ... + 15948.

It is an arithmetic number, because the mean of its divisors is an integer number (1977885).

Almost surely, 2^42006500 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 42006500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47469240).

42006500 is an abundant number, since it is smaller than the sum of its proper divisors (52931980).

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

42006500 is a wasteful number, since it uses less digits than its factorization.

42006500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2945 (or 2933 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 42006500 is about 6481.2421648940. The cubic root of 42006500 is about 347.6205954472.

Adding to 42006500 its reverse (560024), we get a palindrome (42566524).

The spelling of 42006500 in words is "forty-two million, six thousand, five hundred".