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8165916 = 223211171213
BaseRepresentation
bin11111001001101000011100
3120100212112100
4133021220130
54042302131
6451005100
7126260223
oct37115034
916325470
108165916
1146781a0
122899790
1318cbb05
141127cba
15ab47e6
hex7c9a1c

8165916 has 72 divisors (see below), whose sum is σ = 23862384. Its totient is φ = 2327040.

The previous prime is 8165909. The next prime is 8165917. The reversal of 8165916 is 6195618.

8165916 is digitally balanced in base 4 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8165917) 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, 6126 + ... + 7338.

It is an arithmetic number, because the mean of its divisors is an integer number (331422).

Almost surely, 28165916 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 8165916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11931192).

8165916 is an abundant number, since it is smaller than the sum of its proper divisors (15696468).

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

8165916 is a wasteful number, since it uses less digits than its factorization.

8165916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1251 (or 1246 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The square root of 8165916 is about 2857.6066909216. The cubic root of 8165916 is about 201.3731835898.

The spelling of 8165916 in words is "eight million, one hundred sixty-five thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 132 153 187 198 204 306 374 396 561 612 748 1122 1213 1683 2244 2426 3366 3639 4852 6732 7278 10917 13343 14556 20621 21834 26686 40029 41242 43668 53372 61863 80058 82484 120087 123726 160116 185589 226831 240174 247452 371178 453662 480348 680493 742356 907324 1360986 2041479 2721972 4082958 8165916