Search a number
-
+
36828864 = 263321313
BaseRepresentation
bin1000110001111…
…1011011000000
32120022002201000
42030133123000
533412010424
63353212000
7625016532
oct214373300
976262630
1036828864
1119875086
1210401000
137826337
144c69852
1533773c9
hex231f6c0

36828864 has 56 divisors (see below), whose sum is σ = 108275120. Its totient is φ = 12275712.

The previous prime is 36828853. The next prime is 36828877. The reversal of 36828864 is 46882863.

It is a happy number.

36828864 is a `hidden beast` number, since 368 + 288 + 6 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8929 + ... + 12384.

Almost surely, 236828864 is an apocalyptic number.

It is an amenable number.

36828864 is an abundant number, since it is smaller than the sum of its proper divisors (71446256).

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

36828864 is a wasteful number, since it uses less digits than its factorization.

36828864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21334 (or 21318 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 36828864 is about 6068.6789336725. The cubic root of 36828864 is about 332.7076404825.

The spelling of 36828864 in words is "thirty-six million, eight hundred twenty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 21313 42626 63939 85252 127878 170504 191817 255756 341008 383634 511512 575451 682016 767268 1023024 1150902 1364032 1534536 2046048 2301804 3069072 4092096 4603608 6138144 9207216 12276288 18414432 36828864