193794048 has 156 divisors (see below), whose sum is σ = 640601728. Its totient is φ = 55296000.

The previous prime is 193794047. The next prime is 193794059. The reversal of 193794048 is 840497391.

It is a super-2 number, since 2×193794048² = 75112266080452608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 193793994 and 193794012.

It is not an unprimeable number, because it can be changed into a prime (193794047) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 257673 + ... + 258423.

Almost surely, 2^193794048 is an apocalyptic number.

193794048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 193794048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320300864).

193794048 is an abundant number, since it is smaller than the sum of its proper divisors (446807680).

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

193794048 is an equidigital number, since it uses as much as digits as its factorization.

193794048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 193794048 is about 13920.9930680250. The cubic root of 193794048 is about 578.6911110695.

The spelling of 193794048 in words is "one hundred ninety-three million, seven hundred ninety-four thousand, forty-eight".