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466505442 = 2321319317331
BaseRepresentation
bin11011110011100…
…100111011100010
31012111210221011100
4123303210323202
51423411133232
6114142455230
714363142114
oct3363447342
91174727140
10466505442
1121a36a497
12110294516
1375858630
1445d573b4
152ae4dc7c
hex1bce4ee2

466505442 has 96 divisors (see below), whose sum is σ = 1152889920. Its totient is φ = 135146880.

The previous prime is 466505419. The next prime is 466505477. The reversal of 466505442 is 244505664.

466505442 is a `hidden beast` number, since 4 + 66 + 50 + 544 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 466505397 and 466505406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1409217 + ... + 1409547.

It is an arithmetic number, because the mean of its divisors is an integer number (12009270).

Almost surely, 2466505442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 466505442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576444960).

466505442 is an abundant number, since it is smaller than the sum of its proper divisors (686384478).

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

466505442 is a wasteful number, since it uses less digits than its factorization.

466505442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 466505442 is about 21598.7370464108. The cubic root of 466505442 is about 775.5662553277.

The spelling of 466505442 in words is "four hundred sixty-six million, five hundred five thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 57 78 114 117 171 234 247 317 331 342 494 634 662 741 951 993 1482 1902 1986 2223 2853 2979 4121 4303 4446 5706 5958 6023 6289 8242 8606 12046 12363 12578 12909 18069 18867 24726 25818 36138 37089 37734 38727 54207 56601 74178 77454 78299 81757 104927 108414 113202 156598 163514 209854 234897 245271 314781 469794 490542 629562 704691 735813 944343 1364051 1409382 1471626 1888686 1993613 2728102 3987226 4092153 5980839 8184306 11961678 12276459 17942517 24552918 25916969 35885034 51833938 77750907 155501814 233252721 466505442