42257256 has 64 divisors (see below), whose sum is σ = 113270400. Its totient is φ = 13102848.

The previous prime is 42257249. The next prime is 42257297. The reversal of 42257256 is 65275224.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19390 + ... + 21458.

It is an arithmetic number, because the mean of its divisors is an integer number (1769850).

Almost surely, 2^42257256 is an apocalyptic number.

42257256 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42257256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56635200).

42257256 is an abundant number, since it is smaller than the sum of its proper divisors (71013144).

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

42257256 is a wasteful number, since it uses less digits than its factorization.

42257256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2138 (or 2134 counting only the distinct ones).

The product of its digits is 33600, while the sum is 33.

The square root of 42257256 is about 6500.5581298839. The cubic root of 42257256 is about 348.3109257097.

The spelling of 42257256 in words is "forty-two million, two hundred fifty-seven thousand, two hundred fifty-six".