49946208 has 96 divisors (see below), whose sum is σ = 145861632. Its totient is φ = 14860800.

The previous prime is 49946201. The next prime is 49946213. The reversal of 49946208 is 80264994.

49946208 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 (96).

It is a self number, because there is not a number n which added to its sum of digits gives 49946208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49946201) 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 15 ways as a sum of consecutive naturals, for example, 38043 + ... + 39333.

It is an arithmetic number, because the mean of its divisors is an integer number (1519392).

Almost surely, 2^49946208 is an apocalyptic number.

49946208 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49946208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72930816).

49946208 is an abundant number, since it is smaller than the sum of its proper divisors (95915424).

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

49946208 is a wasteful number, since it uses less digits than its factorization.

49946208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 49946208 is about 7067.2631194827. The cubic root of 49946208 is about 368.2709881762.

The spelling of 49946208 in words is "forty-nine million, nine hundred forty-six thousand, two hundred eight".