49560952 has 72 divisors (see below), whose sum is σ = 113475600. Its totient is φ = 20231904.

The previous prime is 49560947. The next prime is 49561051. The reversal of 49560952 is 25906594.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 207249 + ... + 207487.

It is an arithmetic number, because the mean of its divisors is an integer number (1576050).

Almost surely, 2^49560952 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 49560952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56737800).

49560952 is an abundant number, since it is smaller than the sum of its proper divisors (63914648).

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

49560952 is a wasteful number, since it uses less digits than its factorization.

49560952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 271 counting only the distinct ones).

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

The square root of 49560952 is about 7039.9539771223. The cubic root of 49560952 is about 367.3216670665.

It can be divided in two parts, 49 and 560952, that added together give a square (561001 = 749²).

The spelling of 49560952 in words is "forty-nine million, five hundred sixty thousand, nine hundred fifty-two".