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8052084 = 22321759223
BaseRepresentation
bin11110101101110101110100
3120011002101100
4132231311310
54030131314
6444330100
7125304315
oct36556564
916132340
108052084
1145aa717
122843930
13188c061
1410d860c
15a90c09
hex7add74

8052084 has 72 divisors (see below), whose sum is σ = 22014720. Its totient is φ = 2472192.

The previous prime is 8052073. The next prime is 8052089. The reversal of 8052084 is 4802508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8052089) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35997 + ... + 36219.

It is an arithmetic number, because the mean of its divisors is an integer number (305760).

Almost surely, 28052084 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 8052084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11007360).

8052084 is an abundant number, since it is smaller than the sum of its proper divisors (13962636).

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

8052084 is a wasteful number, since it uses less digits than its factorization.

8052084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 8052084 is about 2837.6194247996. The cubic root of 8052084 is about 200.4330948008.

The spelling of 8052084 in words is "eight million, fifty-two thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 59 68 102 118 153 177 204 223 236 306 354 446 531 612 669 708 892 1003 1062 1338 2006 2007 2124 2676 3009 3791 4012 4014 6018 7582 8028 9027 11373 12036 13157 15164 18054 22746 26314 34119 36108 39471 45492 52628 68238 78942 118413 136476 157884 223669 236826 447338 473652 671007 894676 1342014 2013021 2684028 4026042 8052084