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1992193956 = 22324321732
BaseRepresentation
bin111011010111110…
…0111011110100100
312010211122221100100
41312233213132210
513040000201311
6525403344100
7100240240434
oct16657473644
95124587310
101992193956
119325a5895
12477222030
132599732bc
1414c8262c4
15b9d6ea56
hex76be77a4

1992193956 has 81 divisors (see below), whose sum is σ = 5185633089. Its totient is φ = 644872032.

The previous prime is 1992193927. The next prime is 1992193969. The reversal of 1992193956 is 6593912991.

The square root of 1992193956 is 44634.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1812204900 + 179989056 = 42570^2 + 13416^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11515486 + ... + 11515658.

Almost surely, 21992193956 is an apocalyptic number.

1992193956 is the 44634-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1992193956

1992193956 is an abundant number, since it is smaller than the sum of its proper divisors (3193439133).

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

1992193956 is a wasteful number, since it uses less digits than its factorization.

1992193956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 221 counting only the distinct ones).

The product of its digits is 1180980, while the sum is 54.

The cubic root of 1992193956 is about 1258.2797461657.

The spelling of 1992193956 in words is "one billion, nine hundred ninety-two million, one hundred ninety-three thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 173 258 346 387 516 519 692 774 1038 1548 1557 1849 2076 3114 3698 5547 6228 7396 7439 11094 14878 16641 22188 22317 29756 29929 33282 44634 59858 66564 66951 89268 89787 119716 133902 179574 267804 269361 319877 359148 538722 639754 959631 1077444 1279508 1286947 1919262 2573894 2878893 3838524 3860841 5147788 5757786 7721682 11515572 11582523 15443364 23165046 46330092 55338721 110677442 166016163 221354884 332032326 498048489 664064652 996096978 1992193956