49605952 has 56 divisors (see below), whose sum is σ = 110898432. Its totient is φ = 21811200.

The previous prime is 49605923. The next prime is 49605971. The reversal of 49605952 is 25950694.

49605952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 7 ways as a sum of consecutive naturals, for example, 20688 + ... + 22960.

It is a vampire number, since it can be written as 5456 ⋅ 9092 (with its own digits).

Almost surely, 2^49605952 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 49605952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55449216).

49605952 is an abundant number, since it is smaller than the sum of its proper divisors (61292480).

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

49605952 is a wasteful number, since it uses less digits than its factorization.

49605952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2327 (or 2317 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 40.

The square root of 49605952 is about 7043.1492955921. The cubic root of 49605952 is about 367.4328061394.

The spelling of 49605952 in words is "forty-nine million, six hundred five thousand, nine hundred fifty-two".