42257536 has 32 divisors (see below), whose sum is σ = 85787100. Its totient is φ = 20726784.

The previous prime is 42257507. The next prime is 42257549. The reversal of 42257536 is 63575224.

It can be written as a sum of positive squares in 2 ways, for example, as 41679936 + 577600 = 6456^2 + 760^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3670 + ... + 9898.

Almost surely, 2^42257536 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 42257536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42893550).

42257536 is an abundant number, since it is smaller than the sum of its proper divisors (43529564).

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

42257536 is an equidigital number, since it uses as much as digits as its factorization.

42257536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6296 (or 6284 counting only the distinct ones).

The product of its digits is 50400, while the sum is 34.

The square root of 42257536 is about 6500.5796664605. The cubic root of 42257536 is about 348.3116950202.

The spelling of 42257536 in words is "forty-two million, two hundred fifty-seven thousand, five hundred thirty-six".