193948992 has 98 divisors (see below), whose sum is σ = 577176138. Its totient is φ = 64634112.

The previous prime is 193948969. The next prime is 193948999. The reversal of 193948992 is 299849391.

193948992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 162409536 + 31539456 = 12744^2 + 5616^2 .

It is a super-2 number, since 2×193948992² = 75232422995632128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (193948999) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 44578 + ... + 48734.

Almost surely, 2^193948992 is an apocalyptic number.

193948992 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 193948992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288588069).

193948992 is an abundant number, since it is smaller than the sum of its proper divisors (383227146).

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

193948992 is an frugal number, since it uses more digits than its factorization.

193948992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4187 (or 4162 counting only the distinct ones).

The product of its digits is 1259712, while the sum is 54.

The square root of 193948992 is about 13926.5570763200. The cubic root of 193948992 is about 578.8452967984.

The spelling of 193948992 in words is "one hundred ninety-three million, nine hundred forty-eight thousand, nine hundred ninety-two".