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198982764 = 223367107257
BaseRepresentation
bin10111101110000…
…11110001101100
3111212102101001000
423313003301230
5401414422024
631424520300
74634216451
oct1367036154
9455371030
10198982764
11a2358772
1256780090
13322bc2a6
141c5d9828
1512707cc9
hexbdc3c6c

198982764 has 96 divisors (see below), whose sum is σ = 530530560. Its totient is φ = 64475136.

The previous prime is 198982733. The next prime is 198982783. The reversal of 198982764 is 467289891.

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

It is a self number, because there is not a number n which added to its sum of digits gives 198982764.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 774124 + ... + 774380.

It is an arithmetic number, because the mean of its divisors is an integer number (5526360).

Almost surely, 2198982764 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198982764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265265280).

198982764 is an abundant number, since it is smaller than the sum of its proper divisors (331547796).

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

198982764 is a wasteful number, since it uses less digits than its factorization.

198982764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 436 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The square root of 198982764 is about 14106.1250526146. The cubic root of 198982764 is about 583.8103899056.

It can be divided in two parts, 1989827 and 64, that added together give a palindrome (1989891).

The spelling of 198982764 in words is "one hundred ninety-eight million, nine hundred eighty-two thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 67 107 108 134 201 214 257 268 321 402 428 514 603 642 771 804 963 1028 1206 1284 1542 1809 1926 2313 2412 2889 3084 3618 3852 4626 5778 6939 7169 7236 9252 11556 13878 14338 17219 21507 27499 27756 28676 34438 43014 51657 54998 64521 68876 82497 86028 103314 109996 129042 154971 164994 193563 206628 247491 258084 309942 329988 387126 464913 494982 619884 742473 774252 929826 989964 1484946 1842433 1859652 2969892 3684866 5527299 7369732 11054598 16581897 22109196 33163794 49745691 66327588 99491382 198982764