49152096 has 252 divisors, whose sum is σ = 172698372. Its totient is φ = 13716864.

The previous prime is 49152079. The next prime is 49152101. The reversal of 49152096 is 69025194.

49152096 is a `hidden beast` number, since 49 + 1 + 520 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

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

It is a self number, because there is not a number n which added to its sum of digits gives 49152096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 1143051 + ... + 1143093.

It is an arithmetic number, because the mean of its divisors is an integer number (685311).

Almost surely, 2^49152096 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 49152096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86349186).

49152096 is an abundant number, since it is smaller than the sum of its proper divisors (123546276).

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

49152096 is an equidigital number, since it uses as much as digits as its factorization.

49152096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 49152096 is about 7010.8555825948. The cubic root of 49152096 is about 366.3087960990.

The spelling of 49152096 in words is "forty-nine million, one hundred fifty-two thousand, ninety-six".