49050 has 36 divisors (see below), whose sum is σ = 132990. Its totient is φ = 12960.

The previous prime is 49043. The next prime is 49057. The reversal of 49050 is 5094.

It is an interprime number because it is at equal distance from previous prime (49043) and next prime (49057).

It can be written as a sum of positive squares in 3 ways, for example, as 40401 + 8649 = 201^2 + 93^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an alternating number because its digits alternate between even and odd.

It is a Curzon number.

It is a nialpdrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 49050.

It is not an unprimeable number, because it can be changed into a prime (49057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 396 + ... + 504.

2⁴⁹⁰⁵⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66495).

49050 is an abundant number, since it is smaller than the sum of its proper divisors (83940).

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

49050 is a wasteful number, since it uses less digits than its factorization.

49050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 49050 is about 221.4723459035. The cubic root of 49050 is about 36.6054994871.

Subtracting from 49050 its reverse (5094), we obtain a triangular number (43956 = T₂₉₆).

The spelling of 49050 in words is "forty-nine thousand, fifty".