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8052912 = 243372663
BaseRepresentation
bin11110101110000010110000
3120011010112000
4132232002300
54030143122
6444334000
7125306610
oct36560260
916133460
108052912
1146002aa
122844300
13188c54a
1410d8a40
15a910ac
hex7ae0b0

8052912 has 80 divisors (see below), whose sum is σ = 26426880. Its totient is φ = 2299968.

The previous prime is 8052893. The next prime is 8052929. The reversal of 8052912 is 2192508.

8052912 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×80529123 (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 1693 + ... + 4355.

It is an arithmetic number, because the mean of its divisors is an integer number (330336).

Almost surely, 28052912 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 8052912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13213440).

8052912 is an abundant number, since it is smaller than the sum of its proper divisors (18373968).

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

8052912 is a wasteful number, since it uses less digits than its factorization.

8052912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2687 (or 2675 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 8052912 is about 2837.7653179923. The cubic root of 8052912 is about 200.4399647786.

The spelling of 8052912 in words is "eight million, fifty-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 2663 3024 5326 7989 10652 15978 18641 21304 23967 31956 37282 42608 47934 55923 63912 71901 74564 95868 111846 127824 143802 149128 167769 191736 223692 287604 298256 335538 383472 447384 503307 575208 671076 894768 1006614 1150416 1342152 2013228 2684304 4026456 8052912