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45686041 is a prime number
BaseRepresentation
bin1010111001000…
…1110100011001
310011222002110121
42232101310121
543143423131
64311113241
71063216312
oct256216431
9104862417
1045686041
1123874665
1213372821
13960797b
1460d3609
154026911
hex2b91d19

45686041 has 2 divisors, whose sum is σ = 45686042. Its totient is φ = 45686040.

The previous prime is 45685963. The next prime is 45686059. The reversal of 45686041 is 14068654.

45686041 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., 43943641 + 1742400 = 6629^2 + 1320^2 .

It is a cyclic number.

It is not a de Polignac number, because 45686041 - 221 = 43588889 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 45685988 and 45686006.

It is not a weakly prime, because it can be changed into another prime (45686071) 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, 22843020 + 22843021.

It is an arithmetic number, because the mean of its divisors is an integer number (22843021).

Almost surely, 245686041 is an apocalyptic number.

It is an amenable number.

45686041 is a deficient number, since it is larger than the sum of its proper divisors (1).

45686041 is an equidigital number, since it uses as much as digits as its factorization.

45686041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 45686041 is about 6759.1449903076. The cubic root of 45686041 is about 357.4877587215.

It can be divided in two parts, 4568 and 6041, that added together give a square (10609 = 1032).

The spelling of 45686041 in words is "forty-five million, six hundred eighty-six thousand, forty-one".