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36085325 = 527691877
BaseRepresentation
bin1000100110100…
…1111001001101
32111220022202112
42021221321031
533214212300
63325233405
7615502013
oct211517115
974808675
1036085325
1119407491
1210102865
137625a83
144b148b3
15327be35
hex2269e4d

36085325 has 12 divisors (see below), whose sum is σ = 44827860. Its totient is φ = 28815360.

The previous prime is 36085319. The next prime is 36085337. The reversal of 36085325 is 52358063.

36085325 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 6 ways, for example, as 635209 + 35450116 = 797^2 + 5954^2 .

It is not a de Polignac number, because 36085325 - 28 = 36085069 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 36085291 and 36085300.

It is a congruent number.

It is an unprimeable number.

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, 18287 + ... + 20163.

It is an arithmetic number, because the mean of its divisors is an integer number (3735655).

Almost surely, 236085325 is an apocalyptic number.

It is an amenable number.

36085325 is a deficient number, since it is larger than the sum of its proper divisors (8742535).

36085325 is a wasteful number, since it uses less digits than its factorization.

36085325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2656 (or 2651 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The square root of 36085325 is about 6007.1062084834. The cubic root of 36085325 is about 330.4533866023.

The spelling of 36085325 in words is "thirty-six million, eighty-five thousand, three hundred twenty-five".

Divisors: 1 5 25 769 1877 3845 9385 19225 46925 1443413 7217065 36085325