48575296 has 56 divisors (see below), whose sum is σ = 120188736. Its totient is φ = 18923520.

The previous prime is 48575291. The next prime is 48575297. The reversal of 48575296 is 69257584.

48575296 is a nontrivial binomial coefficient, being equal to C(9857, 2).

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48575291) 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 7 ways as a sum of consecutive naturals, for example, 1 + ... + 9856.

Almost surely, 2^48575296 is an apocalyptic number.

48575296 is the 9856-th triangular number.

48575296 is the 3286-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48575296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60094368).

48575296 is an abundant number, since it is smaller than the sum of its proper divisors (71613440).

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

48575296 is a wasteful number, since it uses less digits than its factorization.

48575296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9887 (or 9877 counting only the distinct ones).

The product of its digits is 604800, while the sum is 46.

The square root of 48575296 is about 6969.5979797977. The cubic root of 48575296 is about 364.8702760372.

It can be divided in two parts, 4857 and 5296, that added together give a triangular number (10153 = T₁₄₂).

The spelling of 48575296 in words is "forty-eight million, five hundred seventy-five thousand, two hundred ninety-six".