49595820 has 96 divisors (see below), whose sum is σ = 146990592. Its totient is φ = 12469248.

The previous prime is 49595803. The next prime is 49595831. The reversal of 49595820 is 2859594.

49595820 is a nontrivial binomial coefficient, being equal to C(9960, 2).

It is a super-2 number, since 2×49595820² = 4919490722944800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114324 + ... + 114756.

It is an arithmetic number, because the mean of its divisors is an integer number (1531152).

Almost surely, 2^49595820 is an apocalyptic number.

49595820 is the 9959-th triangular number and also the 4980-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49595820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73495296).

49595820 is an abundant number, since it is smaller than the sum of its proper divisors (97394772).

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

49595820 is a wasteful number, since it uses less digits than its factorization.

49595820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The square root of 49595820 is about 7042.4299783526. The cubic root of 49595820 is about 367.4077884246.

The spelling of 49595820 in words is "forty-nine million, five hundred ninety-five thousand, eight hundred twenty".