42050624 has 168 divisors, whose sum is σ = 112580928. Its totient is φ = 15375360.

The previous prime is 42050623. The next prime is 42050633. The reversal of 42050624 is 42605024.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a self number, because there is not a number n which added to its sum of digits gives 42050624.

It is not an unprimeable number, because it can be changed into a prime (42050623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 793382 + ... + 793434.

Almost surely, 2^42050624 is an apocalyptic number.

42050624 is a gapful number since it is divisible by the number (44) 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 42050624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56290464).

42050624 is an abundant number, since it is smaller than the sum of its proper divisors (70530304).

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

42050624 is a wasteful number, since it uses less digits than its factorization.

42050624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 42050624 is about 6484.6452485853. The cubic root of 42050624 is about 347.7422674404.

Adding to 42050624 its reverse (42605024), we get a palindrome (84655648).

It can be divided in two parts, 4 and 2050624, that multiplied together give a square (8202496 = 2864²).

The spelling of 42050624 in words is "forty-two million, fifty thousand, six hundred twenty-four".