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36082525 = 5229157317
BaseRepresentation
bin1000100110100…
…1001101011101
32111220011220211
42021221031131
533214120100
63325212421
7615460603
oct211511535
974804824
1036082525
1119405376
1210101111
13762470b
144b13873
15327b1ba
hex226935d

36082525 has 24 divisors (see below), whose sum is σ = 46726920. Its totient is φ = 27605760.

The previous prime is 36082523. The next prime is 36082549. The reversal of 36082525 is 52528063.

It is a happy number.

36082525 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 12 ways, for example, as 22221796 + 13860729 = 4714^2 + 3723^2 .

It is not a de Polignac number, because 36082525 - 21 = 36082523 is a prime.

It is a super-2 number, since 2×360825252 = 2603897220751250, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36082523) 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 23 ways as a sum of consecutive naturals, for example, 113667 + ... + 113983.

It is an arithmetic number, because the mean of its divisors is an integer number (1946955).

Almost surely, 236082525 is an apocalyptic number.

It is an amenable number.

36082525 is a deficient number, since it is larger than the sum of its proper divisors (10644395).

36082525 is a wasteful number, since it uses less digits than its factorization.

36082525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 36082525 is about 6006.8731466546. The cubic root of 36082525 is about 330.4448393289. Note that the first 3 decimals are identical.

The spelling of 36082525 in words is "thirty-six million, eighty-two thousand, five hundred twenty-five".

Divisors: 1 5 25 29 145 157 317 725 785 1585 3925 4553 7925 9193 22765 45965 49769 113825 229825 248845 1244225 1443301 7216505 36082525