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84195084 = 223171034007
BaseRepresentation
bin1010000010010…
…11011100001100
312212102112221110
411001023130030
5133023220314
612204332020
72041434501
oct501133414
9185375843
1084195084
1143587016
1224244010
131459b99c
14b2794a8
1575d1a59
hex504b70c

84195084 has 48 divisors (see below), whose sum is σ = 210083328. Its totient is φ = 26151168.

The previous prime is 84195079. The next prime is 84195113. The reversal of 84195084 is 48059148.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19009 + ... + 23015.

It is an arithmetic number, because the mean of its divisors is an integer number (4376736).

Almost surely, 284195084 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 84195084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105041664).

84195084 is an abundant number, since it is smaller than the sum of its proper divisors (125888244).

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

84195084 is a wasteful number, since it uses less digits than its factorization.

84195084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4134 (or 4132 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 84195084 is about 9175.7879225710. The cubic root of 84195084 is about 438.2906892096.

The spelling of 84195084 in words is "eighty-four million, one hundred ninety-five thousand, eighty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 103 204 206 309 412 618 1236 1751 3502 4007 5253 7004 8014 10506 12021 16028 21012 24042 48084 68119 136238 204357 272476 408714 412721 817428 825442 1238163 1650884 2476326 4952652 7016257 14032514 21048771 28065028 42097542 84195084