49709152 has 48 divisors (see below), whose sum is σ = 100835280. Its totient is φ = 24113152.

The previous prime is 49709119. The next prime is 49709189. The reversal of 49709152 is 25190794.

49709152 = T₃₄₃ + T₃₄₄ + ... + T₆₉₆.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 213228 + ... + 213460.

It is an arithmetic number, because the mean of its divisors is an integer number (2100735).

Almost surely, 2^49709152 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 49709152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50417640).

49709152 is an abundant number, since it is smaller than the sum of its proper divisors (51126128).

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

49709152 is a wasteful number, since it uses less digits than its factorization.

49709152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 37.

The square root of 49709152 is about 7050.4717572656. The cubic root of 49709152 is about 367.6874315010.

The spelling of 49709152 in words is "forty-nine million, seven hundred nine thousand, one hundred fifty-two".