49838976 has 320 divisors, whose sum is σ = 177724800. Its totient is φ = 13685760.

The previous prime is 49838959. The next prime is 49838977. The reversal of 49838976 is 67983894.

49838976 is a `hidden beast` number, since 498 + 3 + 89 + 76 = 666.

49838976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49838977) 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 39 ways as a sum of consecutive naturals, for example, 2166901 + ... + 2166923.

It is an arithmetic number, because the mean of its divisors is an integer number (555390).

Almost surely, 2^49838976 is an apocalyptic number.

49838976 is a gapful number since it is divisible by the number (46) 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 49838976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88862400).

49838976 is an abundant number, since it is smaller than the sum of its proper divisors (127885824).

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

49838976 is a wasteful number, since it uses less digits than its factorization.

49838976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 58 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 49838976 is about 7059.6725136510. The cubic root of 49838976 is about 368.0072462341.

The spelling of 49838976 in words is "forty-nine million, eight hundred thirty-eight thousand, nine hundred seventy-six".