42784056 has 144 divisors (see below), whose sum is σ = 137559240. Its totient is φ = 11975040.

The previous prime is 42784039. The next prime is 42784069. The reversal of 42784056 is 65048724.

It is a super-2 number, since 2×42784056² = 3660950895622272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 42784056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 236286 + ... + 236466.

Almost surely, 2^42784056 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 42784056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68779620).

42784056 is an abundant number, since it is smaller than the sum of its proper divisors (94775184).

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

42784056 is a wasteful number, since it uses less digits than its factorization.

42784056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 42784056 is about 6540.9522242560. The cubic root of 42784056 is about 349.7523581561.

The spelling of 42784056 in words is "forty-two million, seven hundred eighty-four thousand, fifty-six".