49627152 has 60 divisors (see below), whose sum is σ = 140819484. Its totient is φ = 16312320.

The previous prime is 49627139. The next prime is 49627153. The reversal of 49627152 is 25172694.

It can be written as a sum of positive squares in 2 ways, for example, as 27499536 + 22127616 = 5244^2 + 4704^2 .

It is a super-2 number, since 2×49627152² = 4925708431262208, 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 (49627153) 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, 8152 + ... + 12872.

Almost surely, 2^49627152 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 49627152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70409742).

49627152 is an abundant number, since it is smaller than the sum of its proper divisors (91192332).

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

49627152 is a wasteful number, since it uses less digits than its factorization.

49627152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4808 (or 4799 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 49627152 is about 7044.6541433913. The cubic root of 49627152 is about 367.4851417011.

The spelling of 49627152 in words is "forty-nine million, six hundred twenty-seven thousand, one hundred fifty-two".