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819216104 = 237210312027
BaseRepresentation
bin110000110101000…
…011111011101000
32010002111111020012
4300311003323220
53134204403404
6213142351052
726205136100
oct6065037350
92102444205
10819216104
11390476203
121aa42b488
13100950575
147ab2c200
154bdc0a6e
hex30d43ee8

819216104 has 48 divisors (see below), whose sum is σ = 1789426080. Its totient is φ = 350579040.

The previous prime is 819216089. The next prime is 819216107. The reversal of 819216104 is 401612918.

819216104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×8192161042 = 1342230050105877632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (819216107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 403139 + ... + 405165.

It is an arithmetic number, because the mean of its divisors is an integer number (37279710).

Almost surely, 2819216104 is an apocalyptic number.

It is an amenable number.

819216104 is an abundant number, since it is smaller than the sum of its proper divisors (970209976).

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

819216104 is a wasteful number, since it uses less digits than its factorization.

819216104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3078 (or 3067 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 32.

The square root of 819216104 is about 28621.9514359172. The cubic root of 819216104 is about 935.6918074876.

The spelling of 819216104 in words is "eight hundred nineteen million, two hundred sixteen thousand, one hundred four".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 1031 2027 2062 4054 4124 7217 8108 8248 14189 14434 16216 28378 28868 50519 56756 57736 99323 101038 113512 198646 202076 397292 404152 794584 2089837 4179674 8359348 14628859 16718696 29257718 58515436 102402013 117030872 204804026 409608052 819216104