53906952 has 96 divisors (see below), whose sum is σ = 156088800. Its totient is φ = 15459840.

The previous prime is 53906929. The next prime is 53906953. The reversal of 53906952 is 25960935.

It is a self number, because there is not a number n which added to its sum of digits gives 53906952.

It is not an unprimeable number, because it can be changed into a prime (53906953) 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 23 ways as a sum of consecutive naturals, for example, 54688 + ... + 55664.

It is an arithmetic number, because the mean of its divisors is an integer number (1625925).

Almost surely, 2^53906952 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 53906952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78044400).

53906952 is an abundant number, since it is smaller than the sum of its proper divisors (102181848).

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

53906952 is a wasteful number, since it uses less digits than its factorization.

53906952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 39.

The square root of 53906952 is about 7342.1353842053. The cubic root of 53906952 is about 377.7590917581.

The spelling of 53906952 in words is "fifty-three million, nine hundred six thousand, nine hundred fifty-two".