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812666652 = 223729449743
BaseRepresentation
bin110000011100000…
…100111100011100
32002122011202001220
4300130010330130
53131020313102
6212350133340
726065360350
oct6034047434
92078152056
10812666652
11387802536
121a81b1250
13cc499455
1479d05460
154b52a1bc
hex30704f1c

812666652 has 96 divisors (see below), whose sum is σ = 2249856000. Its totient is φ = 223383552.

The previous prime is 812666641. The next prime is 812666653. The reversal of 812666652 is 256666218.

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 (812666653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1093393 + ... + 1094135.

It is an arithmetic number, because the mean of its divisors is an integer number (23436000).

Almost surely, 2812666652 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 812666652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1124928000).

812666652 is an abundant number, since it is smaller than the sum of its proper divisors (1437189348).

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

812666652 is a wasteful number, since it uses less digits than its factorization.

812666652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1235 (or 1233 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The square root of 812666652 is about 28507.3087470564. The cubic root of 812666652 is about 933.1915828377.

It can be divided in two parts, 812666 and 652, that added together give a palindrome (813318).

The spelling of 812666652 in words is "eight hundred twelve million, six hundred sixty-six thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 116 174 203 348 406 449 609 743 812 898 1218 1347 1486 1796 2229 2436 2694 2972 3143 4458 5201 5388 6286 8916 9429 10402 12572 13021 15603 18858 20804 21547 26042 31206 37716 39063 43094 52084 62412 64641 78126 86188 91147 129282 150829 156252 182294 258564 273441 301658 333607 364588 452487 546882 603316 667214 904974 1000821 1093764 1334428 1809948 2001642 2335249 4003284 4670498 7005747 9340996 9674603 14011494 19349206 28022988 29023809 38698412 58047618 67722221 116095236 135444442 203166663 270888884 406333326 812666652