49845152 has 72 divisors (see below), whose sum is σ = 115831296. Its totient is φ = 21049728.

The previous prime is 49845149. The next prime is 49845157. The reversal of 49845152 is 25154894.

It is not an unprimeable number, because it can be changed into a prime (49845157) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 129953 + ... + 130335.

It is an arithmetic number, because the mean of its divisors is an integer number (1608768).

Almost surely, 2^49845152 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 49845152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57915648).

49845152 is an abundant number, since it is smaller than the sum of its proper divisors (65986144).

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

49845152 is a wasteful number, since it uses less digits than its factorization.

49845152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 475 counting only the distinct ones).

The product of its digits is 57600, while the sum is 38.

The square root of 49845152 is about 7060.1099141586. The cubic root of 49845152 is about 368.0224466459.

The spelling of 49845152 in words is "forty-nine million, eight hundred forty-five thousand, one hundred fifty-two".