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8073912 = 23371117257
BaseRepresentation
bin11110110011001010111000
3120012012022210
4132303022320
54031331122
6445015120
7125425050
oct36631270
916165283
108073912
114615060
1228544a0
131898c82
141102560
15a9740c
hex7b32b8

8073912 has 128 divisors (see below), whose sum is σ = 26749440. Its totient is φ = 1966080.

The previous prime is 8073911. The next prime is 8073931. The reversal of 8073912 is 2193708.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 8073912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8073911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31288 + ... + 31544.

It is an arithmetic number, because the mean of its divisors is an integer number (208980).

Almost surely, 28073912 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 8073912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13374720).

8073912 is an abundant number, since it is smaller than the sum of its proper divisors (18675528).

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

8073912 is a wasteful number, since it uses less digits than its factorization.

8073912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 8073912 is about 2841.4630034544. The cubic root of 8073912 is about 200.6140461406.

The spelling of 8073912 in words is "eight million, seventy-three thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 11 12 14 17 21 22 24 28 33 34 42 44 51 56 66 68 77 84 88 102 119 132 136 154 168 187 204 231 238 257 264 308 357 374 408 462 476 514 561 616 714 748 771 924 952 1028 1122 1309 1428 1496 1542 1799 1848 2056 2244 2618 2827 2856 3084 3598 3927 4369 4488 5236 5397 5654 6168 7196 7854 8481 8738 10472 10794 11308 13107 14392 15708 16962 17476 19789 21588 22616 26214 30583 31416 33924 34952 39578 43176 48059 52428 59367 61166 67848 79156 91749 96118 104856 118734 122332 144177 158312 183498 192236 237468 244664 288354 336413 366996 384472 474936 576708 672826 733992 1009239 1153416 1345652 2018478 2691304 4036956 8073912