193916052 has 192 divisors, whose sum is σ = 590284800. Its totient is φ = 54885600.

The previous prime is 193916027. The next prime is 193916077. The reversal of 193916052 is 250619391.

193916052 is a `hidden beast` number, since 19 + 39 + 1 + 605 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (193916027) and next prime (193916077).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 193915998 and 193916016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2731177 + ... + 2731247.

It is an arithmetic number, because the mean of its divisors is an integer number (3074400).

Almost surely, 2^193916052 is an apocalyptic number.

193916052 is a gapful number since it is divisible by the number (12) 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 193916052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295142400).

193916052 is an abundant number, since it is smaller than the sum of its proper divisors (396368748).

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

193916052 is a wasteful number, since it uses less digits than its factorization.

193916052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 193916052 is about 13925.3743935307. The cubic root of 193916052 is about 578.8125248765.

The spelling of 193916052 in words is "one hundred ninety-three million, nine hundred sixteen thousand, fifty-two".