Search a number
-
+
36028008 = 2332500389
BaseRepresentation
bin1000100101101…
…1111001101000
32111210102010200
42021123321220
533210344013
63324112200
7615142632
oct211337150
974712120
1036028008
1119378415
1210095660
137605963
144adba52
153269e73
hex225be68

36028008 has 24 divisors (see below), whose sum is σ = 97576050. Its totient is φ = 12009312.

The previous prime is 36028007. The next prime is 36028019. The reversal of 36028008 is 80082063.

36028008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 20958084 + 15069924 = 4578^2 + 3882^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (36028007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 250123 + ... + 250266.

Almost surely, 236028008 is an apocalyptic number.

It is an amenable number.

36028008 is an abundant number, since it is smaller than the sum of its proper divisors (61548042).

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

36028008 is a wasteful number, since it uses less digits than its factorization.

36028008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500401 (or 500394 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 36028008 is about 6002.3335462135. Note that the first 3 decimals coincide. The cubic root of 36028008 is about 330.2783326723.

The spelling of 36028008 in words is "thirty-six million, twenty-eight thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 500389 1000778 1501167 2001556 3002334 4003112 4503501 6004668 9007002 12009336 18014004 36028008