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36164052 = 22325771741
BaseRepresentation
bin1000100111110…
…1000111010100
32112001022202100
42021331013110
533224222202
63331042100
7616250361
oct211750724
975038670
1036164052
1119460651
1210140330
137652862
144b35468
15329541c
hex227d1d4

36164052 has 36 divisors (see below), whose sum is σ = 91625716. Its totient is φ = 12026880.

The previous prime is 36164041. The next prime is 36164053. The reversal of 36164052 is 25046163.

36164052 is a `hidden beast` number, since 3 + 616 + 40 + 5 + 2 = 666.

36164052 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 2 ways, for example, as 17189316 + 18974736 = 4146^2 + 4356^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36164053) 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 11 ways as a sum of consecutive naturals, for example, 19902 + ... + 21642.

Almost surely, 236164052 is an apocalyptic number.

It is an amenable number.

36164052 is an abundant number, since it is smaller than the sum of its proper divisors (55461664).

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

36164052 is a wasteful number, since it uses less digits than its factorization.

36164052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2328 (or 2323 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 36164052 is about 6013.6554606994. The cubic root of 36164052 is about 330.6935276877.

The spelling of 36164052 in words is "thirty-six million, one hundred sixty-four thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 577 1154 1731 1741 2308 3462 3482 5193 5223 6924 6964 10386 10446 15669 20772 20892 31338 62676 1004557 2009114 3013671 4018228 6027342 9041013 12054684 18082026 36164052