49735776 has 96 divisors (see below), whose sum is σ = 136055808. Its totient is φ = 15897600.

The previous prime is 49735771. The next prime is 49735843. The reversal of 49735776 is 67753794.

49735776 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 Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49735771) 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, 329301 + ... + 329451.

It is an arithmetic number, because the mean of its divisors is an integer number (1417248).

Almost surely, 2^49735776 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 49735776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68027904).

49735776 is an abundant number, since it is smaller than the sum of its proper divisors (86320032).

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

49735776 is a wasteful number, since it uses less digits than its factorization.

49735776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 276 counting only the distinct ones).

The product of its digits is 1111320, while the sum is 48.

The square root of 49735776 is about 7052.3596051251. The cubic root of 49735776 is about 367.7530637008.

The spelling of 49735776 in words is "forty-nine million, seven hundred thirty-five thousand, seven hundred seventy-six".