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8542116 = 22321123753
BaseRepresentation
bin100000100101…
…011110100100
3121001222120200
4200211132210
54141321431
6503030500
7132415062
oct40453644
917058520
108542116
114904900
122a3b430
131a0110b
1411c5032
15b3aee6
hex8257a4

8542116 has 108 divisors (see below), whose sum is σ = 24835356. Its totient is φ = 2471040.

The previous prime is 8542069. The next prime is 8542129. The reversal of 8542116 is 6112458.

8542116 is a `hidden beast` number, since 8 + 542 + 116 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6969600 + 1572516 = 2640^2 + 1254^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 8542116.

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, 161146 + ... + 161198.

It is an arithmetic number, because the mean of its divisors is an integer number (229957).

Almost surely, 28542116 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 8542116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12417678).

8542116 is an abundant number, since it is smaller than the sum of its proper divisors (16293240).

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

8542116 is a wasteful number, since it uses less digits than its factorization.

8542116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 106 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 8542116 is about 2922.6898569640. The cubic root of 8542116 is about 204.4192646035.

The spelling of 8542116 in words is "eight million, five hundred forty-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 37 44 53 66 74 99 106 111 121 132 148 159 198 212 222 242 318 333 363 396 407 444 477 484 583 636 666 726 814 954 1089 1166 1221 1332 1452 1628 1749 1908 1961 2178 2332 2442 3498 3663 3922 4356 4477 4884 5247 5883 6413 6996 7326 7844 8954 10494 11766 12826 13431 14652 17649 17908 19239 20988 21571 23532 25652 26862 35298 38478 40293 43142 53724 57717 64713 70596 76956 80586 86284 115434 129426 161172 194139 230868 237281 258852 388278 474562 711843 776556 949124 1423686 2135529 2847372 4271058 8542116