Search a number
-
+
396186804 = 2232136131381
BaseRepresentation
bin10111100111010…
…101010010110100
31000121111101010100
4113213111102310
51302410434204
6103151354100
712550350366
oct2747252264
91017441110
10396186804
11193701012
12b0822930
1364107a80
143a890d36
1524bada39
hex179d54b4

396186804 has 72 divisors (see below), whose sum is σ = 1081050152. Its totient is φ = 121616640.

The previous prime is 396186779. The next prime is 396186811. The reversal of 396186804 is 408681693.

396186804 is a `hidden beast` number, since 396 + 186 + 80 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14062500 + 382124304 = 3750^2 + 19548^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 396186804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 286194 + ... + 287574.

Almost surely, 2396186804 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 396186804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540525076).

396186804 is an abundant number, since it is smaller than the sum of its proper divisors (684863348).

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

396186804 is a wasteful number, since it uses less digits than its factorization.

396186804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2017 (or 2012 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 396186804 is about 19904.4418158360. The cubic root of 396186804 is about 734.4574977766.

The spelling of 396186804 in words is "three hundred ninety-six million, one hundred eighty-six thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 613 1226 1381 1839 2452 2762 3678 4143 5517 5524 7356 7969 8286 11034 12429 15938 16572 17953 22068 23907 24858 31876 35906 47814 49716 53859 71721 71812 95628 107718 143442 161577 215436 286884 323154 646308 846553 1693106 2539659 3386212 5079318 7618977 10158636 11005189 15237954 22010378 30475908 33015567 44020756 66031134 99046701 132062268 198093402 396186804