50105952 has 120 divisors (see below), whose sum is σ = 158802336. Its totient is φ = 15406848.

The previous prime is 50105947. The next prime is 50105963. The reversal of 50105952 is 25950105.

50105952 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 (27).

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 19 ways as a sum of consecutive naturals, for example, 32953 + ... + 34439.

Almost surely, 2^50105952 is an apocalyptic number.

50105952 is a gapful number since it is divisible by the number (52) 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 50105952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79401168).

50105952 is an abundant number, since it is smaller than the sum of its proper divisors (108696384).

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

50105952 is a wasteful number, since it uses less digits than its factorization.

50105952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522 (or 1505 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 27.

The square root of 50105952 is about 7078.5557849041. Note that the first 3 decimals coincide. The cubic root of 50105952 is about 368.6631866112.

The spelling of 50105952 in words is "fifty million, one hundred five thousand, nine hundred fifty-two".