49835136 has 128 divisors (see below), whose sum is σ = 145656000. Its totient is φ = 15003648.

The previous prime is 49835111. The next prime is 49835141. The reversal of 49835136 is 63153894.

49835136 is a nontrivial binomial coefficient, being equal to C(9984, 2).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 49835094 and 49835103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 334390 + ... + 334538.

Almost surely, 2^49835136 is an apocalyptic number.

49835136 is the 9983-rd triangular number and also the 4992-nd hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49835136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72828000).

49835136 is an abundant number, since it is smaller than the sum of its proper divisors (95820864).

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

49835136 is a wasteful number, since it uses less digits than its factorization.

49835136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 234 counting only the distinct ones).

The product of its digits is 77760, while the sum is 39.

The square root of 49835136 is about 7059.4005411225. The cubic root of 49835136 is about 367.9977945678.

The spelling of 49835136 in words is "forty-nine million, eight hundred thirty-five thousand, one hundred thirty-six".