49753152 has 84 divisors (see below), whose sum is σ = 151026876. Its totient is φ = 15605760.

The previous prime is 49753129. The next prime is 49753157. The reversal of 49753152 is 25135794.

It can be written as a sum of positive squares in 2 ways, for example, as 22127616 + 27625536 = 4704^2 + 5256^2 .

It is a super-2 number, since 2×49753152² = 4950752267870208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (49753157) 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, 7252 + ... + 12332.

It is an arithmetic number, because the mean of its divisors is an integer number (1797939).

Almost surely, 2^49753152 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 49753152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75513438).

49753152 is an abundant number, since it is smaller than the sum of its proper divisors (101273724).

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

49753152 is a wasteful number, since it uses less digits than its factorization.

49753152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5116 (or 5103 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 49753152 is about 7053.5914256498. The cubic root of 49753152 is about 367.7958855468.

The spelling of 49753152 in words is "forty-nine million, seven hundred fifty-three thousand, one hundred fifty-two".