48593952 has 96 divisors (see below), whose sum is σ = 154647360. Its totient is φ = 14722560.

The previous prime is 48593947. The next prime is 48593953. The reversal of 48593952 is 25939584.

48593952 is a `hidden beast` number, since 4 + 8 + 593 + 9 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×48593952² = 4722744341956608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 48593898 and 48593907.

It is not an unprimeable number, because it can be changed into a prime (48593953) 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, 6948 + ... + 12060.

It is an arithmetic number, because the mean of its divisors is an integer number (1610910).

Almost surely, 2^48593952 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 48593952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77323680).

48593952 is an abundant number, since it is smaller than the sum of its proper divisors (106053408).

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

48593952 is a wasteful number, since it uses less digits than its factorization.

48593952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5143 (or 5129 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 48593952 is about 6970.9362355425. The cubic root of 48593952 is about 364.9169811815.

The spelling of 48593952 in words is "forty-eight million, five hundred ninety-three thousand, nine hundred fifty-two".