49725952 has 80 divisors (see below), whose sum is σ = 109379160. Its totient is φ = 22478848.

The previous prime is 49725911. The next prime is 49726009. The reversal of 49725952 is 25952794.

It can be written as a sum of positive squares in 4 ways, for example, as 49336576 + 389376 = 7024^2 + 624^2 .

It is a junction number, because it is equal to n+sod(n) for n = 49725899 and 49725908.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 252318 + ... + 252514.

Almost surely, 2^49725952 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 49725952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54689580).

49725952 is an abundant number, since it is smaller than the sum of its proper divisors (59653208).

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

49725952 is a wasteful number, since it uses less digits than its factorization.

49725952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 245 counting only the distinct ones).

The product of its digits is 226800, while the sum is 43.

The square root of 49725952 is about 7051.6630662561. The cubic root of 49725952 is about 367.7288487776.

The spelling of 49725952 in words is "forty-nine million, seven hundred twenty-five thousand, nine hundred fifty-two".