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36688545 = 345157577
BaseRepresentation
bin1000101111110…
…1001010100001
32120000222020000
42023331022201
533343013140
63350210213
7623563455
oct213751241
976028200
1036688545
1119789713
1210353969
1377a74ca
144c30665
15334aa30
hex22fd2a1

36688545 has 40 divisors (see below), whose sum is σ = 66301224. Its totient is φ = 19408896.

The previous prime is 36688543. The next prime is 36688577. The reversal of 36688545 is 54588663.

36688545 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 4 ways, for example, as 10556001 + 26132544 = 3249^2 + 5112^2 .

It is not a de Polignac number, because 36688545 - 21 = 36688543 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 36688545.

It is not an unprimeable number, because it can be changed into a prime (36688541) 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 39 ways as a sum of consecutive naturals, for example, 63297 + ... + 63873.

Almost surely, 236688545 is an apocalyptic number.

It is an amenable number.

36688545 is a deficient number, since it is larger than the sum of its proper divisors (29612679).

36688545 is a wasteful number, since it uses less digits than its factorization.

36688545 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 742 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 36688545 is about 6057.1069827105. The cubic root of 36688545 is about 332.2845609122.

The spelling of 36688545 in words is "thirty-six million, six hundred eighty-eight thousand, five hundred forty-five".

Divisors: 1 3 5 9 15 27 45 81 135 157 405 471 577 785 1413 1731 2355 2885 4239 5193 7065 8655 12717 15579 21195 25965 46737 63585 77895 90589 233685 271767 452945 815301 1358835 2445903 4076505 7337709 12229515 36688545