42481656 has 96 divisors (see below), whose sum is σ = 135782400. Its totient is φ = 11741760.

The previous prime is 42481651. The next prime is 42481669. The reversal of 42481656 is 65618424.

42481656 = 330² + 331² + ... + 546².

42481656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 42481656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42481651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14265 + ... + 16983.

It is an arithmetic number, because the mean of its divisors is an integer number (1414400).

Almost surely, 2^42481656 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 42481656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67891200).

42481656 is an abundant number, since it is smaller than the sum of its proper divisors (93300744).

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

42481656 is a wasteful number, since it uses less digits than its factorization.

42481656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2769 (or 2762 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 42481656 is about 6517.7953327793. The cubic root of 42481656 is about 348.9263862823.

The spelling of 42481656 in words is "forty-two million, four hundred eighty-one thousand, six hundred fifty-six".