49956048 has 80 divisors (see below), whose sum is σ = 144365760. Its totient is φ = 16539264.

The previous prime is 49956043. The next prime is 49956079. The reversal of 49956048 is 84065994.

It is a happy number.

49956048 is a `hidden beast` number, since 49 + 9 + 560 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 49955994 and 49956012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49956043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84811 + ... + 85397.

It is an arithmetic number, because the mean of its divisors is an integer number (1804572).

Almost surely, 2^49956048 is an apocalyptic number.

49956048 is a gapful number since it is divisible by the number (48) 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 49956048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72182880).

49956048 is an abundant number, since it is smaller than the sum of its proper divisors (94409712).

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

49956048 is a wasteful number, since it uses less digits than its factorization.

49956048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 49956048 is about 7067.9592528537. The cubic root of 49956048 is about 368.2951711837.

The spelling of 49956048 in words is "forty-nine million, nine hundred fifty-six thousand, forty-eight".