49071792 has 240 divisors, whose sum is σ = 170989056. Its totient is φ = 11827200.

The previous prime is 49071769. The next prime is 49071823. The reversal of 49071792 is 29717094.

49071792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 49071792.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 691117 + ... + 691187.

Almost surely, 2^49071792 is an apocalyptic number.

49071792 is a gapful number since it is divisible by the number (42) 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 49071792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85494528).

49071792 is an abundant number, since it is smaller than the sum of its proper divisors (121917264).

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

49071792 is a wasteful number, since it uses less digits than its factorization.

49071792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 39.

The square root of 49071792 is about 7005.1261230616. The cubic root of 49071792 is about 366.1091973138.

The spelling of 49071792 in words is "forty-nine million, seventy-one thousand, seven hundred ninety-two".