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47772041 is a prime number
BaseRepresentation
bin1011011000111…
…1000110001001
310022220001220212
42312033012021
544212201131
64423530505
71120025042
oct266170611
9108801825
1047772041
1124a69929
1213bb9a35
139b882a5
1464b78c9
1542d9a2b
hex2d8f189

47772041 has 2 divisors, whose sum is σ = 47772042. Its totient is φ = 47772040.

The previous prime is 47772029. The next prime is 47772059. The reversal of 47772041 is 14027774.

47772041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 40589641 + 7182400 = 6371^2 + 2680^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-47772041 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 47771989 and 47772007.

It is not a weakly prime, because it can be changed into another prime (47772071) 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, 23886020 + 23886021.

It is an arithmetic number, because the mean of its divisors is an integer number (23886021).

Almost surely, 247772041 is an apocalyptic number.

It is an amenable number.

47772041 is a deficient number, since it is larger than the sum of its proper divisors (1).

47772041 is an equidigital number, since it uses as much as digits as its factorization.

47772041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10976, while the sum is 32.

The square root of 47772041 is about 6911.7321273325. The cubic root of 47772041 is about 362.8478873533.

The spelling of 47772041 in words is "forty-seven million, seven hundred seventy-two thousand, forty-one".