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36505241 is a prime number
BaseRepresentation
bin1000101101000…
…0011010011001
32112200122202222
42023100122121
533321131431
63342233425
7622201163
oct213203231
975618688
1036505241
1119673a23
1210285875
137741c46
144bc3933
15331157b
hex22d0699

36505241 has 2 divisors, whose sum is σ = 36505242. Its totient is φ = 36505240.

The previous prime is 36505193. The next prime is 36505253. The reversal of 36505241 is 14250563.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 29593600 + 6911641 = 5440^2 + 2629^2 .

It is an emirp because it is prime and its reverse (14250563) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-36505241 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 36505241.

It is not a weakly prime, because it can be changed into another prime (36505291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18252620 + 18252621.

It is an arithmetic number, because the mean of its divisors is an integer number (18252621).

Almost surely, 236505241 is an apocalyptic number.

It is an amenable number.

36505241 is a deficient number, since it is larger than the sum of its proper divisors (1).

36505241 is an equidigital number, since it uses as much as digits as its factorization.

36505241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 36505241 is about 6041.9567194742. The cubic root of 36505241 is about 331.7302479330.

The spelling of 36505241 in words is "thirty-six million, five hundred five thousand, two hundred forty-one".