42644952 has 96 divisors (see below), whose sum is σ = 132986880. Its totient is φ = 12093120.

The previous prime is 42644951. The next prime is 42644969. The reversal of 42644952 is 25944624.

42644952 is a `hidden beast` number, since 4 + 2 + 644 + 9 + 5 + 2 = 666.

42644952 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (42644951) 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, 96043 + ... + 96485.

It is an arithmetic number, because the mean of its divisors is an integer number (1385280).

Almost surely, 2^42644952 is an apocalyptic number.

42644952 is a gapful number since it is divisible by the number (42) 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 42644952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66493440).

42644952 is an abundant number, since it is smaller than the sum of its proper divisors (90341928).

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

42644952 is a wasteful number, since it uses less digits than its factorization.

42644952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 646 counting only the distinct ones).

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

The square root of 42644952 is about 6530.3102529665. The cubic root of 42644952 is about 349.3728961207.

It can be divided in two parts, 4264 and 4952, that added together give a square (9216 = 96²).

The spelling of 42644952 in words is "forty-two million, six hundred forty-four thousand, nine hundred fifty-two".