49596820 has 144 divisors (see below), whose sum is σ = 138756240. Its totient is φ = 14708736.

The previous prime is 49596773. The next prime is 49596823. The reversal of 49596820 is 2869594.

49596820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 988036 + 48608784 = 994^2 + 6972^2 .

It is a super-2 number, since 2×49596820² = 4919689108224800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49596823) by changing a digit.

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, 216466 + ... + 216694.

It is an arithmetic number, because the mean of its divisors is an integer number (963585).

Almost surely, 2^49596820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49596820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69378120).

49596820 is an abundant number, since it is smaller than the sum of its proper divisors (89159420).

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

49596820 is a wasteful number, since it uses less digits than its factorization.

49596820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 43.

The square root of 49596820 is about 7042.5009762158. The cubic root of 49596820 is about 367.4102577545.

The spelling of 49596820 in words is "forty-nine million, five hundred ninety-six thousand, eight hundred twenty".