48966336 has 112 divisors (see below), whose sum is σ = 147523200. Its totient is φ = 15918336.

The previous prime is 48966331. The next prime is 48966349. The reversal of 48966336 is 63366984.

48966336 is a `hidden beast` number, since 4 + 8 + 9 + 6 + 633 + 6 = 666.

It is a super-2 number, since 2×48966336² = 4795404122529792, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 48966291 and 48966300.

It is not an unprimeable number, because it can be changed into a prime (48966331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73975 + ... + 74633.

Almost surely, 2^48966336 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 48966336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73761600).

48966336 is an abundant number, since it is smaller than the sum of its proper divisors (98556864).

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

48966336 is a wasteful number, since it uses less digits than its factorization.

48966336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 707 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 48966336 is about 6997.5950154321. The cubic root of 48966336 is about 365.8467512140.

The spelling of 48966336 in words is "forty-eight million, nine hundred sixty-six thousand, three hundred thirty-six".