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649289466 = 233717791279
BaseRepresentation
bin100110101100110…
…101111011111010
31200020202022201000
4212230311323322
52312204230331
6144232305430
722042604130
oct4654657372
91606668630
10649289466
11303563871
12161542276
13a4695767
1462337750
153c0070e6
hex26b35efa

649289466 has 128 divisors (see below), whose sum is σ = 1769472000. Its totient is φ = 172253952.

The previous prime is 649289437. The next prime is 649289467. The reversal of 649289466 is 664982946.

649289466 is a `hidden beast` number, since 6 + 492 + 8 + 94 + 66 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (649289467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 507015 + ... + 508293.

It is an arithmetic number, because the mean of its divisors is an integer number (13824000).

Almost surely, 2649289466 is an apocalyptic number.

649289466 is the 16116-th heptagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 649289466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884736000).

649289466 is an abundant number, since it is smaller than the sum of its proper divisors (1120182534).

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

649289466 is a wasteful number, since it uses less digits than its factorization.

649289466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1393 (or 1387 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The square root of 649289466 is about 25481.1590395727. The cubic root of 649289466 is about 865.9233531647.

The spelling of 649289466 in words is "six hundred forty-nine million, two hundred eighty-nine thousand, four hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 79 102 119 126 153 158 189 237 238 306 357 378 459 474 553 711 714 918 1071 1106 1279 1343 1422 1659 2133 2142 2558 2686 3213 3318 3837 4029 4266 4977 6426 7674 8058 8953 9401 9954 11511 12087 14931 17906 18802 21743 23022 24174 26859 28203 29862 34533 36261 43486 53718 56406 65229 69066 72522 80577 84609 101041 130458 152201 161154 169218 195687 202082 241731 253827 303123 304402 391374 456603 483462 507654 587061 606246 707287 909369 913206 1174122 1369809 1414574 1717697 1818738 2121861 2728107 2739618 3435394 4109427 4243722 5153091 5456214 6365583 8218854 10306182 12023879 12731166 15459273 19096749 24047758 30918546 36071637 38193498 46377819 72143274 92755638 108214911 216429822 324644733 649289466