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468646794 = 232711259521
BaseRepresentation
bin11011111011101…
…111101110001010
31012122211201112200
4123323233232022
51424433144134
6114300421030
714420301120
oct3373575612
91178751480
10468646794
112205a2300
12110b47776
13761281c5
1446353910
152b223499
hex1beefb8a

468646794 has 144 divisors (see below), whose sum is σ = 1299654720. Its totient is φ = 119433600.

The previous prime is 468646741. The next prime is 468646811. The reversal of 468646794 is 497646864.

It is a self number, because there is not a number n which added to its sum of digits gives 468646794.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 899254 + ... + 899774.

It is an arithmetic number, because the mean of its divisors is an integer number (9025380).

Almost surely, 2468646794 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468646794, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649827360).

468646794 is an abundant number, since it is smaller than the sum of its proper divisors (831007926).

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

468646794 is a wasteful number, since it uses less digits than its factorization.

468646794 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 603 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The square root of 468646794 is about 21648.2515229291. The cubic root of 468646794 is about 776.7511116305.

The spelling of 468646794 in words is "four hundred sixty-eight million, six hundred forty-six thousand, seven hundred ninety-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 59 63 66 77 99 118 121 126 154 177 198 231 242 354 363 413 462 521 531 649 693 726 826 847 1042 1062 1089 1239 1298 1386 1563 1694 1947 2178 2478 2541 3126 3647 3717 3894 4543 4689 5082 5731 5841 7139 7294 7434 7623 9086 9378 10941 11462 11682 13629 14278 15246 17193 21417 21882 27258 30739 32823 34386 40117 40887 42834 49973 51579 61478 63041 64251 65646 80234 81774 92217 99946 103158 120351 126082 128502 149919 184434 189123 215173 240702 276651 299838 338129 361053 378246 430346 441287 449757 553302 567369 645519 676258 722106 882574 899514 1014387 1134738 1291038 1323861 1936557 2028774 2366903 2647722 3043161 3719419 3873114 3971583 4733806 6086322 7100709 7438838 7943166 11158257 14201418 21302127 22316514 26035933 33474771 42604254 52071866 66949542 78107799 156215598 234323397 468646794