49952205 has 72 divisors (see below), whose sum is σ = 96550272. Its totient is φ = 23840256.

The previous prime is 49952167. The next prime is 49952207. The reversal of 49952205 is 50225994.

It is a happy number.

It is not a de Polignac number, because 49952205 - 2¹² = 49948109 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 49952205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49952207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 299032 + ... + 299198.

It is an arithmetic number, because the mean of its divisors is an integer number (1340976).

Almost surely, 2^49952205 is an apocalyptic number.

49952205 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

49952205 is a deficient number, since it is larger than the sum of its proper divisors (46598067).

49952205 is a wasteful number, since it uses less digits than its factorization.

49952205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 49952205 is about 7067.6873869746. The cubic root of 49952205 is about 368.2857269176.

It can be divided in two parts, 4995220 and 5, that added together give a square (4995225 = 2235²).

The spelling of 49952205 in words is "forty-nine million, nine hundred fifty-two thousand, two hundred five".