42782208 has 160 divisors (see below), whose sum is σ = 136705536. Its totient is φ = 11624448.

The previous prime is 42782191. The next prime is 42782209. The reversal of 42782208 is 80228724.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42782209) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 247210 + ... + 247382.

Almost surely, 2^42782208 is an apocalyptic number.

42782208 is a gapful number since it is divisible by the number (48) 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 42782208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68352768).

42782208 is an abundant number, since it is smaller than the sum of its proper divisors (93923328).

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

42782208 is a wasteful number, since it uses less digits than its factorization.

42782208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 42782208 is about 6540.8109588949. The cubic root of 42782208 is about 349.7473223887.

The spelling of 42782208 in words is "forty-two million, seven hundred eighty-two thousand, two hundred eight".