42037056 has 196 divisors, whose sum is σ = 134924292. Its totient is φ = 12939264.

The previous prime is 42037033. The next prime is 42037057. The reversal of 42037056 is 65073024.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 31539456 + 10497600 = 5616^2 + 3240^2 .

It is a super-2 number, since 2×42037056² = 3534228154294272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42037057) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 793126 + ... + 793178.

Almost surely, 2^42037056 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 42037056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67462146).

42037056 is an abundant number, since it is smaller than the sum of its proper divisors (92887236).

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

42037056 is an equidigital number, since it uses as much as digits as its factorization.

42037056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 42037056 is about 6483.5990005552. The cubic root of 42037056 is about 347.7048627269.

The spelling of 42037056 in words is "forty-two million, thirty-seven thousand, fifty-six".