Search a number
-
+
198485892 = 223211677481
BaseRepresentation
bin10111101010010…
…10011110000100
3111211111010110100
423311022132010
5401303022032
631410124100
74630050033
oct1365123604
9454433410
10198485892
11a2049430
1256580630
1332177097
141c50a71a
151265a97c
hexbd4a784

198485892 has 72 divisors (see below), whose sum is σ = 555583392. Its totient is φ = 59241600.

The previous prime is 198485873. The next prime is 198485909. The reversal of 198485892 is 298584891.

198485892 is a `hidden beast` number, since 19 + 8 + 48 + 589 + 2 = 666.

198485892 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22792 + ... + 30272.

It is an arithmetic number, because the mean of its divisors is an integer number (7716436).

Almost surely, 2198485892 is an apocalyptic number.

198485892 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 198485892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277791696).

198485892 is an abundant number, since it is smaller than the sum of its proper divisors (357097500).

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

198485892 is a wasteful number, since it uses less digits than its factorization.

198485892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7569 (or 7564 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 54.

The square root of 198485892 is about 14088.5021205237. The cubic root of 198485892 is about 583.3240482513.

The spelling of 198485892 in words is "one hundred ninety-eight million, four hundred eighty-five thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 67 99 132 134 198 201 268 396 402 603 737 804 1206 1474 2211 2412 2948 4422 6633 7481 8844 13266 14962 22443 26532 29924 44886 67329 82291 89772 134658 164582 246873 269316 329164 493746 501227 740619 987492 1002454 1481238 1503681 2004908 2962476 3007362 4511043 5513497 6014724 9022086 11026994 16540491 18044172 22053988 33080982 49621473 66161964 99242946 198485892