49829312 has 84 divisors (see below), whose sum is σ = 113787936. Its totient is φ = 21565440.

The previous prime is 49829281. The next prime is 49829317. The reversal of 49829312 is 21392894.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49829317) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 183737 + ... + 184007.

Almost surely, 2^49829312 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 49829312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56893968).

49829312 is an abundant number, since it is smaller than the sum of its proper divisors (63958624).

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

49829312 is a wasteful number, since it uses less digits than its factorization.

49829312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 303 counting only the distinct ones).

The product of its digits is 31104, while the sum is 38.

The square root of 49829312 is about 7058.9880294558. The cubic root of 49829312 is about 367.9834586138.

The spelling of 49829312 in words is "forty-nine million, eight hundred twenty-nine thousand, three hundred twelve".