49923152 has 40 divisors (see below), whose sum is σ = 105964200. Its totient is φ = 22679552.

The previous prime is 49923131. The next prime is 49923157. The reversal of 49923152 is 25132994.

It can be written as a sum of positive squares in 4 ways, for example, as 20286016 + 29637136 = 4504^2 + 5444^2 .

It is a super-2 number, since 2×49923152² = 4984642211230208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49923157) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4724 + ... + 11052.

It is an arithmetic number, because the mean of its divisors is an integer number (2649105).

Almost surely, 2^49923152 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 49923152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52982100).

49923152 is an abundant number, since it is smaller than the sum of its proper divisors (56041048).

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

49923152 is a wasteful number, since it uses less digits than its factorization.

49923152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6383 (or 6377 counting only the distinct ones).

The product of its digits is 19440, while the sum is 35.

The square root of 49923152 is about 7065.6317481171. The cubic root of 49923152 is about 368.2143127842.

The spelling of 49923152 in words is "forty-nine million, nine hundred twenty-three thousand, one hundred fifty-two".