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811524868 = 2272111133331
BaseRepresentation
bin110000010111101…
…110001100000100
32002120000201211121
4300113232030010
53130222243433
6212305443324
726052563500
oct6027561404
92076021747
10811524868
113870a2710
121a7940544
13cc18983b
1479ac9300
154b3a1c2d
hex305ee304

811524868 has 72 divisors (see below), whose sum is σ = 1818712224. Its totient is φ = 313286400.

The previous prime is 811524863. The next prime is 811524871. The reversal of 811524868 is 868425118.

It is a super-2 number, since 2×8115248682 = 1317145222764834848, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (811524863) 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 23 ways as a sum of consecutive naturals, for example, 241963 + ... + 245293.

It is an arithmetic number, because the mean of its divisors is an integer number (25259892).

Almost surely, 2811524868 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 811524868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909356112).

811524868 is an abundant number, since it is smaller than the sum of its proper divisors (1007187356).

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

811524868 is a wasteful number, since it uses less digits than its factorization.

811524868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3473 (or 3464 counting only the distinct ones).

The product of its digits is 122880, while the sum is 43.

The square root of 811524868 is about 28487.2755454080. The cubic root of 811524868 is about 932.7543381156.

The spelling of 811524868 in words is "eight hundred eleven million, five hundred twenty-four thousand, eight hundred sixty-eight".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 113 154 196 226 308 452 539 791 1078 1243 1582 2156 2486 3164 3331 4972 5537 6662 8701 11074 13324 17402 22148 23317 34804 36641 46634 60907 73282 93268 121814 146564 163219 243628 256487 326438 376403 512974 652876 752806 1025948 1505612 1795409 2634821 3590818 4140433 5269642 7181636 8280866 10539284 16561732 18443747 28983031 36887494 57966062 73774988 115932124 202881217 405762434 811524868