49901610 has 96 divisors (see below), whose sum is σ = 134447040. Its totient is φ = 11841280.

The previous prime is 49901609. The next prime is 49901623. The reversal of 49901610 is 1610994.

49901610 = T₂₀ + T₂₁ + ... + T₆₆₈.

49901610 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 214054 + ... + 214286.

It is an arithmetic number, because the mean of its divisors is an integer number (1400490).

Almost surely, 2^49901610 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49901610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67223520).

49901610 is an abundant number, since it is smaller than the sum of its proper divisors (84545430).

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

49901610 is a wasteful number, since it uses less digits than its factorization.

49901610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 49901610 is about 7064.1071622676. The cubic root of 49901610 is about 368.1613432795.

The spelling of 49901610 in words is "forty-nine million, nine hundred one thousand, six hundred ten".