42502500 has 90 divisors (see below), whose sum is σ = 134324190. Its totient is φ = 11328000.

The previous prime is 42502489. The next prime is 42502501. The reversal of 42502500 is 520524.

It can be written as a sum of positive squares in 5 ways, for example, as 17040384 + 25462116 = 4128^2 + 5046^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (42502501) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 21556 + ... + 23444.

It is an arithmetic number, because the mean of its divisors is an integer number (1492491).

Almost surely, 2^42502500 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 42502500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67162095).

42502500 is an abundant number, since it is smaller than the sum of its proper divisors (91821690).

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

42502500 is a wasteful number, since it uses less digits than its factorization.

42502500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1919 (or 1899 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 42502500 is about 6519.3941436302. The cubic root of 42502500 is about 348.9834448898.

The spelling of 42502500 in words is "forty-two million, five hundred two thousand, five hundred".