49332096 has 192 divisors, whose sum is σ = 164689200. Its totient is φ = 14008320.

The previous prime is 49332091. The next prime is 49332097. The reversal of 49332096 is 69023394.

It is a happy number.

49332096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×49332096³ (a number of 24 digits) contains 333 as substring.

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 49332096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49332091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 215310 + ... + 215538.

Almost surely, 2^49332096 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 49332096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82344600).

49332096 is an abundant number, since it is smaller than the sum of its proper divisors (115357104).

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

49332096 is a wasteful number, since it uses less digits than its factorization.

49332096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 49332096 is about 7023.6810861542. The cubic root of 49332096 is about 366.7554047851.

The spelling of 49332096 in words is "forty-nine million, three hundred thirty-two thousand, ninety-six".