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45847937 is a prime number
BaseRepresentation
bin1010111011100…
…1010110000001
310012021022112202
42232321112001
543214113222
64314402545
71064462312
oct256712601
9105238482
1045847937
1123975263
1213430455
139663575
146136609
154059892
hex2bb9581

45847937 has 2 divisors, whose sum is σ = 45847938. Its totient is φ = 45847936.

The previous prime is 45847909. The next prime is 45847939. The reversal of 45847937 is 73974854.

45847937 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., 43771456 + 2076481 = 6616^2 + 1441^2 .

It is a cyclic number.

It is not a de Polignac number, because 45847937 - 212 = 45843841 is a prime.

Together with 45847939, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 45847891 and 45847900.

It is not a weakly prime, because it can be changed into another prime (45847939) 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, 22923968 + 22923969.

It is an arithmetic number, because the mean of its divisors is an integer number (22923969).

Almost surely, 245847937 is an apocalyptic number.

It is an amenable number.

45847937 is a deficient number, since it is larger than the sum of its proper divisors (1).

45847937 is an equidigital number, since it uses as much as digits as its factorization.

45847937 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 846720, while the sum is 47.

The square root of 45847937 is about 6771.1104702257. The cubic root of 45847937 is about 357.9095331264.

It can be divided in two parts, 4584 and 7937, that added together give a palindrome (12521).

The spelling of 45847937 in words is "forty-five million, eight hundred forty-seven thousand, nine hundred thirty-seven".