42582078 has 192 divisors, whose sum is σ = 127680000. Its totient is φ = 10478160.

The previous prime is 42582077. The next prime is 42582101. The reversal of 42582078 is 87028524.

It is a happy number.

42582078 is a `hidden beast` number, since 4 + 2 + 582 + 0 + 78 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42582077) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 2241153 + ... + 2241171.

It is an arithmetic number, because the mean of its divisors is an integer number (665000).

Almost surely, 2^42582078 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42582078, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63840000).

42582078 is an abundant number, since it is smaller than the sum of its proper divisors (85097922).

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

42582078 is a wasteful number, since it uses less digits than its factorization.

42582078 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 42582078 is about 6525.4944640234. The cubic root of 42582078 is about 349.2011112257.

It can be divided in two parts, 4258 and 2078, that added together give a palindrome (6336).

The spelling of 42582078 in words is "forty-two million, five hundred eighty-two thousand, seventy-eight".