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533804964 = 2237111721999
BaseRepresentation
bin11111110100010…
…011011110100100
31101012110002202020
4133310103132210
52043123224324
6124545143140
716141160460
oct3764233644
91335402666
10533804964
11254356630
1212a92aab0
138678cc34
1450c754a0
1531ce4679
hex1fd137a4

533804964 has 144 divisors (see below), whose sum is σ = 1650432000. Its totient is φ = 130429440.

The previous prime is 533804959. The next prime is 533804969. The reversal of 533804964 is 469408335.

It is an interprime number because it is at equal distance from previous prime (533804959) and next prime (533804969).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (533804969) by changing a digit.

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, 266037 + ... + 268035.

Almost surely, 2533804964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 533804964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825216000).

533804964 is an abundant number, since it is smaller than the sum of its proper divisors (1116627036).

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

533804964 is a wasteful number, since it uses less digits than its factorization.

533804964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2058 (or 2039 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The square root of 533804964 is about 23104.2196146072. The cubic root of 533804964 is about 811.1992417295.

The spelling of 533804964 in words is "five hundred thirty-three million, eight hundred four thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 11 12 14 17 21 22 28 33 34 42 44 51 66 68 77 84 102 119 132 154 187 204 231 238 289 308 357 374 462 476 561 578 714 748 867 924 1122 1156 1309 1428 1734 1999 2023 2244 2618 3179 3468 3927 3998 4046 5236 5997 6069 6358 7854 7996 8092 9537 11994 12138 12716 13993 15708 19074 21989 22253 23988 24276 27986 33983 38148 41979 43978 44506 55972 65967 66759 67966 83958 87956 89012 101949 131934 133518 135932 153923 167916 203898 237881 263868 267036 307846 373813 407796 461769 475762 577711 615692 713643 747626 923538 951524 1121439 1155422 1427286 1495252 1733133 1847076 2242878 2310844 2616691 2854572 3466266 4043977 4485756 5233382 6354821 6932532 7850073 8087954 10466764 12131931 12709642 15700146 16175908 19064463 24263862 25419284 31400292 38128926 44483747 48527724 76257852 88967494 133451241 177934988 266902482 533804964