49785792 has 112 divisors (see below), whose sum is σ = 159471360. Its totient is φ = 13381632.

The previous prime is 49785751. The next prime is 49785803. The reversal of 49785792 is 29758794.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×49785792³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 21759 + ... + 23937.

Almost surely, 2^49785792 is an apocalyptic number.

49785792 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 49785792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79735680).

49785792 is an abundant number, since it is smaller than the sum of its proper divisors (109685568).

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

49785792 is a wasteful number, since it uses less digits than its factorization.

49785792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2218 (or 2208 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 51.

The square root of 49785792 is about 7055.9047612620. The cubic root of 49785792 is about 367.8762974267.

The spelling of 49785792 in words is "forty-nine million, seven hundred eighty-five thousand, seven hundred ninety-two".