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45364681 is a prime number
BaseRepresentation
bin1010110100001…
…1010111001001
310011100202122101
42231003113021
543103132211
64300153401
71060410355
oct255032711
9104322571
1045364681
112367517a
1213238861
13952460b
14604c465
153eb15c1
hex2b435c9

45364681 has 2 divisors, whose sum is σ = 45364682. Its totient is φ = 45364680.

The previous prime is 45364651. The next prime is 45364691. The reversal of 45364681 is 18646354.

It is a happy number.

45364681 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33177600 + 12187081 = 5760^2 + 3491^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-45364681 is a prime.

It is a super-2 number, since 2×453646812 = 4115908564463522, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 45364681.

It is not a weakly prime, because it can be changed into another prime (45364651) 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 as a sum of consecutive naturals, namely, 22682340 + 22682341.

It is an arithmetic number, because the mean of its divisors is an integer number (22682341).

Almost surely, 245364681 is an apocalyptic number.

It is an amenable number.

45364681 is a deficient number, since it is larger than the sum of its proper divisors (1).

45364681 is an equidigital number, since it uses as much as digits as its factorization.

45364681 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 69120, while the sum is 37.

The square root of 45364681 is about 6735.3308010817. The cubic root of 45364681 is about 356.6475846004.

The spelling of 45364681 in words is "forty-five million, three hundred sixty-four thousand, six hundred eighty-one".