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996283164 = 2231719376947
BaseRepresentation
bin111011011000100…
…001001100011100
32120102200102120110
4323120201030130
54020022030124
6242505450020
733455160432
oct7330411434
92512612513
10996283164
11471415318
122397a0910
1312b538486
1496460d52
155c6ea029
hex3b62131c

996283164 has 96 divisors (see below), whose sum is σ = 2661361920. Its totient is φ = 288064512.

The previous prime is 996283129. The next prime is 996283207. The reversal of 996283164 is 461382699.

It is a congruent number.

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, 139939 + ... + 146885.

It is an arithmetic number, because the mean of its divisors is an integer number (27722520).

Almost surely, 2996283164 is an apocalyptic number.

996283164 is the 16872-nd nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 996283164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1330680960).

996283164 is an abundant number, since it is smaller than the sum of its proper divisors (1665078756).

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

996283164 is a wasteful number, since it uses less digits than its factorization.

996283164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7027 (or 7025 counting only the distinct ones).

The product of its digits is 559872, while the sum is 48.

The square root of 996283164 is about 31563.9535546484. The cubic root of 996283164 is about 998.7595165036.

The spelling of 996283164 in words is "nine hundred ninety-six million, two hundred eighty-three thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 12 17 19 34 37 38 51 57 68 74 76 102 111 114 148 204 222 228 323 444 629 646 703 969 1258 1292 1406 1887 1938 2109 2516 2812 3774 3876 4218 6947 7548 8436 11951 13894 20841 23902 27788 35853 41682 47804 71706 83364 118099 131993 143412 236198 257039 263986 354297 395979 472396 514078 527972 708594 771117 791958 1028156 1417188 1542234 1583916 2243881 3084468 4369663 4487762 4883741 6731643 8739326 8975524 9767482 13108989 13463286 14651223 17478652 19534964 26217978 26926572 29302446 52435956 58604892 83023597 166047194 249070791 332094388 498141582 996283164