49934984 has 64 divisors (see below), whose sum is σ = 111974400. Its totient is φ = 20608000.

The previous prime is 49934981. The next prime is 49934999. The reversal of 49934984 is 48943994.

It is not an unprimeable number, because it can be changed into a prime (49934981) 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, 42809 + ... + 43959.

It is an arithmetic number, because the mean of its divisors is an integer number (1749600).

Almost surely, 2^49934984 is an apocalyptic number.

49934984 is a gapful number since it is divisible by the number (44) 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 49934984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55987200).

49934984 is an abundant number, since it is smaller than the sum of its proper divisors (62039416).

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

49934984 is a wasteful number, since it uses less digits than its factorization.

49934984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1214 (or 1210 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 50.

The square root of 49934984 is about 7066.4689909459. The cubic root of 49934984 is about 368.2433999407.

The spelling of 49934984 in words is "forty-nine million, nine hundred thirty-four thousand, nine hundred eighty-four".