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8084096 = 27137461
BaseRepresentation
bin11110110101101010000000
3120012201021222
4132311222000
54032142341
6445134212
7125466536
oct36655200
916181258
108084096
114621779
12285a368
1318a07b7
141106156
15a9a44b
hex7b5a80

8084096 has 32 divisors (see below), whose sum is σ = 16257780. Its totient is φ = 4003840.

The previous prime is 8084033. The next prime is 8084099. The reversal of 8084096 is 6904808.

It can be written as a sum of positive squares in 2 ways, for example, as 8065600 + 18496 = 2840^2 + 136^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (8084099) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 17306 + ... + 17766.

Almost surely, 28084096 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 8084096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8128890).

8084096 is an abundant number, since it is smaller than the sum of its proper divisors (8173684).

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

8084096 is a wasteful number, since it uses less digits than its factorization.

8084096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 8084096 is about 2843.2544733105. The cubic root of 8084096 is about 200.6983586378.

The spelling of 8084096 in words is "eight million, eighty-four thousand, ninety-six".

Divisors: 1 2 4 8 16 32 64 128 137 274 461 548 922 1096 1844 2192 3688 4384 7376 8768 14752 17536 29504 59008 63157 126314 252628 505256 1010512 2021024 4042048 8084096