Search a number
-
+
36315664 = 2472114211
BaseRepresentation
bin1000101010001…
…0001000010000
32112100000201121
42022202020100
533244100124
63334212024
7620451400
oct212421020
975300647
1036315664
1119554550
12101b4014
1376a6878
144b74800
1532c52e4
hex22a2210

36315664 has 60 divisors (see below), whose sum is σ = 89311248. Its totient is φ = 14145600.

The previous prime is 36315619. The next prime is 36315667. The reversal of 36315664 is 46651363.

It is not an unprimeable number, because it can be changed into a prime (36315667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6519 + ... + 10729.

Almost surely, 236315664 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 36315664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44655624).

36315664 is an abundant number, since it is smaller than the sum of its proper divisors (52995584).

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

36315664 is a wasteful number, since it uses less digits than its factorization.

36315664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4244 (or 4231 counting only the distinct ones).

The product of its digits is 38880, while the sum is 34.

The square root of 36315664 is about 6026.2479205555. The cubic root of 36315664 is about 331.1550099530.

The spelling of 36315664 in words is "thirty-six million, three hundred fifteen thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 49 56 77 88 98 112 154 176 196 308 392 539 616 784 1078 1232 2156 4211 4312 8422 8624 16844 29477 33688 46321 58954 67376 92642 117908 185284 206339 235816 324247 370568 412678 471632 648494 741136 825356 1296988 1650712 2269729 2593976 3301424 4539458 5187952 9078916 18157832 36315664