49517952 has 128 divisors (see below), whose sum is σ = 151286400. Its totient is φ = 14192640.

The previous prime is 49517929. The next prime is 49517969. The reversal of 49517952 is 25971594.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79948 + ... + 80564.

It is an arithmetic number, because the mean of its divisors is an integer number (1181925).

Almost surely, 2^49517952 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 49517952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75643200).

49517952 is an abundant number, since it is smaller than the sum of its proper divisors (101768448).

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

49517952 is a wasteful number, since it uses less digits than its factorization.

49517952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 652 counting only the distinct ones).

The product of its digits is 113400, while the sum is 42.

The square root of 49517952 is about 7036.8993171709. The cubic root of 49517952 is about 367.2154046347.

The spelling of 49517952 in words is "forty-nine million, five hundred seventeen thousand, nine hundred fifty-two".