42962544 has 120 divisors (see below), whose sum is σ = 125729552. Its totient is φ = 13685760.

The previous prime is 42962539. The next prime is 42962573. The reversal of 42962544 is 44526924.

42962544 is a `hidden beast` number, since 4 + 29 + 625 + 4 + 4 = 666.

42962544 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 junction number, because it is equal to n+sod(n) for n = 42962499 and 42962508.

It is a congruent number.

It is an unprimeable number.

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, 588492 + ... + 588564.

Almost surely, 2^42962544 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 42962544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62864776).

42962544 is an abundant number, since it is smaller than the sum of its proper divisors (82767008).

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

42962544 is a wasteful number, since it uses less digits than its factorization.

42962544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 206 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 42962544 is about 6554.5819088634. The cubic root of 42962544 is about 350.2380530172.

The spelling of 42962544 in words is "forty-two million, nine hundred sixty-two thousand, five hundred forty-four".