49577856 has 128 divisors (see below), whose sum is σ = 139829760. Its totient is φ = 15544320.

The previous prime is 49577833. The next prime is 49577861. The reversal of 49577856 is 65877594.

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

Its product of digits (2116800) is a multiple of the sum of its prime divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 49577799 and 49577808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 739935 + ... + 740001.

It is an arithmetic number, because the mean of its divisors is an integer number (1092420).

Almost surely, 2^49577856 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 49577856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69914880).

49577856 is an abundant number, since it is smaller than the sum of its proper divisors (90251904).

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

49577856 is a wasteful number, since it uses less digits than its factorization.

49577856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 160 counting only the distinct ones).

The product of its digits is 2116800, while the sum is 51.

The square root of 49577856 is about 7041.1544507985. The cubic root of 49577856 is about 367.3634237278.

The spelling of 49577856 in words is "forty-nine million, five hundred seventy-seven thousand, eight hundred fifty-six".