49965006 has 96 divisors (see below), whose sum is σ = 132723360. Its totient is φ = 12386304.

The previous prime is 49964987. The next prime is 49965007. The reversal of 49965006 is 60056994.

49965006 is a nontrivial binomial coefficient, being equal to C(9997, 2).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49965007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64590 + ... + 65358.

It is an arithmetic number, because the mean of its divisors is an integer number (1382535).

Almost surely, 2^49965006 is an apocalyptic number.

49965006 is the 9996-th triangular number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49965006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66361680).

49965006 is an abundant number, since it is smaller than the sum of its proper divisors (82758354).

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

49965006 is a wasteful number, since it uses less digits than its factorization.

49965006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 49965006 is about 7068.5929292894. The cubic root of 49965006 is about 368.3171838068.

The spelling of 49965006 in words is "forty-nine million, nine hundred sixty-five thousand, six".