49649688 has 144 divisors (see below), whose sum is σ = 152497800. Its totient is φ = 14572800.

The previous prime is 49649651. The next prime is 49649701. The reversal of 49649688 is 88694694.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 357123 + ... + 357261.

Almost surely, 2^49649688 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 49649688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76248900).

49649688 is an abundant number, since it is smaller than the sum of its proper divisors (102848112).

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

49649688 is a wasteful number, since it uses less digits than its factorization.

49649688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 196 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 49649688 is about 7046.2534725909. The cubic root of 49649688 is about 367.5407590500.

The spelling of 49649688 in words is "forty-nine million, six hundred forty-nine thousand, six hundred eighty-eight".