| Base | Representation |
|---|---|
| bin | 10111101010000… |
| … | …01011101100000 |
| 3 | 111211102020211200 |
| 4 | 23311001131200 |
| 5 | 401300331432 |
| 6 | 31405241200 |
| 7 | 4626534330 |
| oct | 1365013540 |
| 9 | 454366750 |
| 10 | 198448992 |
| 11 | a2023735 |
| 12 | 56563200 |
| 13 | 32163351 |
| 14 | 1c4db0c0 |
| 15 | 1264ea7c |
| hex | bd41760 |
198448992 has 144 divisors (see below), whose sum is σ = 649827360. Its totient is φ = 56272896.
The previous prime is 198448963. The next prime is 198449029. The reversal of 198448992 is 299844891.
198448992 is a `hidden beast` number, since 198 + 448 + 9 + 9 + 2 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 348484 + ... + 349052.
It is an arithmetic number, because the mean of its divisors is an integer number (4512690).
Almost surely, 2198448992 is an apocalyptic number.
198448992 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 198448992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324913680).
198448992 is an abundant number, since it is smaller than the sum of its proper divisors (451378368).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
198448992 is a wasteful number, since it uses less digits than its factorization.
198448992 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 765 (or 754 counting only the distinct ones).
The product of its digits is 1492992, while the sum is 54.
The square root of 198448992 is about 14087.1924811156. The cubic root of 198448992 is about 583.2878979215.
The spelling of 198448992 in words is "one hundred ninety-eight million, four hundred forty-eight thousand, nine hundred ninety-two".
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