Search a number
-
+
8265096 = 2332723231
BaseRepresentation
bin11111100001110110001000
3120112220120200
4133201312020
54103440341
6453052200
7130152330
oct37416610
916486520
108265096
114735764
122927060
131934cb8
1411520c0
15ad3db6
hex7e1d88

8265096 has 144 divisors (see below), whose sum is σ = 27605760. Its totient is φ = 2185920.

The previous prime is 8265041. The next prime is 8265107. The reversal of 8265096 is 6905628.

8265096 is digitally balanced in base 4, because in such base 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 an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 8265096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 266601 + ... + 266631.

Almost surely, 28265096 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 8265096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13802880).

8265096 is an abundant number, since it is smaller than the sum of its proper divisors (19340664).

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

8265096 is a wasteful number, since it uses less digits than its factorization.

8265096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 8265096 is about 2874.9079985280. The cubic root of 8265096 is about 202.1851715096.

The spelling of 8265096 in words is "eight million, two hundred sixty-five thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 28 31 36 42 46 56 62 63 69 72 84 92 93 124 126 138 161 168 184 186 207 217 248 252 276 279 322 372 414 434 483 504 529 552 558 644 651 713 744 828 868 966 1058 1116 1288 1302 1426 1449 1587 1656 1736 1932 1953 2116 2139 2232 2604 2852 2898 3174 3703 3864 3906 4232 4278 4761 4991 5208 5704 5796 6348 6417 7406 7812 8556 9522 9982 11109 11592 12696 12834 14812 14973 15624 16399 17112 19044 19964 22218 25668 29624 29946 32798 33327 38088 39928 44436 44919 49197 51336 59892 65596 66654 88872 89838 98394 114793 119784 131192 133308 147591 179676 196788 229586 266616 295182 344379 359352 393576 459172 590364 688758 918344 1033137 1180728 1377516 2066274 2755032 4132548 8265096