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198052512 = 2537271593
BaseRepresentation
bin10111100111000…
…00101010100000
3111210200002222020
423303200222200
5401200140022
631352541440
74623263400
oct1363405240
9453602866
10198052512
11a1882869
12563b1880
1332054a48
141c436800
15125c235c
hexbce0aa0

198052512 has 144 divisors (see below), whose sum is σ = 614319552. Its totient is φ = 55695360.

The previous prime is 198052511. The next prime is 198052529. The reversal of 198052512 is 215250891.

It is not an unprimeable number, because it can be changed into a prime (198052511) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 333688 + ... + 334280.

It is an arithmetic number, because the mean of its divisors is an integer number (4266108).

Almost surely, 2198052512 is an apocalyptic number.

198052512 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 198052512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307159776).

198052512 is an abundant number, since it is smaller than the sum of its proper divisors (416267040).

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

198052512 is a wasteful number, since it uses less digits than its factorization.

198052512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 33.

The square root of 198052512 is about 14073.1130884392. The cubic root of 198052512 is about 582.8991898595.

The spelling of 198052512 in words is "one hundred ninety-eight million, fifty-two thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 71 84 96 98 112 142 147 168 196 213 224 284 294 336 392 426 497 568 588 593 672 784 852 994 1136 1176 1186 1491 1568 1704 1779 1988 2272 2352 2372 2982 3408 3479 3558 3976 4151 4704 4744 5964 6816 6958 7116 7952 8302 9488 10437 11928 12453 13916 14232 15904 16604 18976 20874 23856 24906 27832 28464 29057 33208 41748 42103 47712 49812 55664 56928 58114 66416 83496 84206 87171 99624 111328 116228 126309 132832 166992 168412 174342 199248 232456 252618 294721 333984 336824 348684 398496 464912 505236 589442 673648 697368 884163 929824 1010472 1178884 1347296 1394736 1768326 2020944 2063047 2357768 2789472 3536652 4041888 4126094 4715536 6189141 7073304 8252188 9431072 12378282 14146608 16504376 24756564 28293216 33008752 49513128 66017504 99026256 198052512