93749952 has 112 divisors (see below), whose sum is σ = 269849600. Its totient is φ = 28615680.

The previous prime is 93749923. The next prime is 93749963. The reversal of 93749952 is 25994739.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112674 + ... + 113502.

Almost surely, 2^93749952 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 93749952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134924800).

93749952 is an abundant number, since it is smaller than the sum of its proper divisors (176099648).

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

93749952 is a wasteful number, since it uses less digits than its factorization.

93749952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 884 counting only the distinct ones).

The product of its digits is 612360, while the sum is 48.

The square root of 93749952 is about 9682.4558868089. The cubic root of 93749952 is about 454.2800706775.

The spelling of 93749952 in words is "ninety-three million, seven hundred forty-nine thousand, nine hundred fifty-two".