49793688 has 96 divisors (see below), whose sum is σ = 159144960. Its totient is φ = 13763520.

The previous prime is 49793687. The next prime is 49793741. The reversal of 49793688 is 88639794.

49793688 is a `hidden beast` number, since 497 + 93 + 68 + 8 = 666.

It is a super-2 number, since 2×49793688² = 4958822729282688, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49793687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14031 + ... + 17217.

It is an arithmetic number, because the mean of its divisors is an integer number (1657760).

Almost surely, 2^49793688 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 49793688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79572480).

49793688 is an abundant number, since it is smaller than the sum of its proper divisors (109351272).

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

49793688 is a wasteful number, since it uses less digits than its factorization.

49793688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3237 (or 3230 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 49793688 is about 7056.4642704403. The cubic root of 49793688 is about 367.8957447266.

The spelling of 49793688 in words is "forty-nine million, seven hundred ninety-three thousand, six hundred eighty-eight".