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84984804 = 22329724337
BaseRepresentation
bin1010001000011…
…00001111100100
312220220200020100
411010030033210
5133224003204
612233304100
72051234052
oct504141744
9186820210
1084984804
1143a76383
1224565030
13147b7288
14b4031d2
1576daa39
hex510c3e4

84984804 has 36 divisors (see below), whose sum is σ = 217046284. Its totient is φ = 28035072.

The previous prime is 84984791. The next prime is 84984817. The reversal of 84984804 is 40848948.

84984804 is a `hidden beast` number, since 84 + 98 + 480 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (84984791) and next prime (84984817).

It can be written as a sum of positive squares in 2 ways, for example, as 70560000 + 14424804 = 8400^2 + 3798^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 84984804.

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 11 ways as a sum of consecutive naturals, for example, 8677 + ... + 15660.

Almost surely, 284984804 is an apocalyptic number.

It is an amenable number.

84984804 is an abundant number, since it is smaller than the sum of its proper divisors (132061480).

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

84984804 is a wasteful number, since it uses less digits than its factorization.

84984804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24444 (or 24439 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 84984804 is about 9218.7203016471. The cubic root of 84984804 is about 439.6567639979.

The spelling of 84984804 in words is "eighty-four million, nine hundred eighty-four thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 97 194 291 388 582 873 1164 1746 3492 24337 48674 73011 97348 146022 219033 292044 438066 876132 2360689 4721378 7082067 9442756 14164134 21246201 28328268 42492402 84984804