36242000 has 40 divisors (see below), whose sum is σ = 87637992. Its totient is φ = 14496000.

The previous prime is 36241973. The next prime is 36242009. The reversal of 36242000 is 24263.

It can be written as a sum of positive squares in 4 ways, for example, as 2972176 + 33269824 = 1724^2 + 5768^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 36242000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36242009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7061 + ... + 11060.

Almost surely, 2^36242000 is an apocalyptic number.

It is an amenable number.

36242000 is an abundant number, since it is smaller than the sum of its proper divisors (51395992).

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

36242000 is a wasteful number, since it uses less digits than its factorization.

36242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18144 (or 18128 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 36242000 is about 6020.1328888987. The cubic root of 36242000 is about 330.9309494733.

Adding to 36242000 its reverse (24263), we get a palindrome (36266263).

The spelling of 36242000 in words is "thirty-six million, two hundred forty-two thousand".