49552200 has 72 divisors (see below), whose sum is σ = 166418850. Its totient is φ = 13213440.

The previous prime is 49552199. The next prime is 49552201. The reversal of 49552200 is 225594.

It is an interprime number because it is at equal distance from previous prime (49552199) and next prime (49552201).

It can be written as a sum of positive squares in 3 ways, for example, as 33246756 + 16305444 = 5766^2 + 4038^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (49552201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11965 + ... + 15564.

Almost surely, 2^49552200 is an apocalyptic number.

49552200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

49552200 is an abundant number, since it is smaller than the sum of its proper divisors (116866650).

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

49552200 is a wasteful number, since it uses less digits than its factorization.

49552200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27551 (or 27539 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 49552200 is about 7039.3323547052. The cubic root of 49552200 is about 367.3000439382.

Adding to 49552200 its reverse (225594), we get a palindrome (49777794).

The spelling of 49552200 in words is "forty-nine million, five hundred fifty-two thousand, two hundred".