Search a number
-
+
47783137 is a prime number
BaseRepresentation
bin1011011001000…
…1110011100001
310022220122010211
42312101303201
544213030022
64424054121
71120102303
oct266216341
9108818124
1047783137
1124a771a6
1214004341
139b9035c
1464bb973
1542dce77
hex2d91ce1

47783137 has 2 divisors, whose sum is σ = 47783138. Its totient is φ = 47783136.

The previous prime is 47783129. The next prime is 47783143. The reversal of 47783137 is 73138774.

47783137 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., 34562641 + 13220496 = 5879^2 + 3636^2 .

It is a cyclic number.

It is not a de Polignac number, because 47783137 - 23 = 47783129 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 47783137.

It is not a weakly prime, because it can be changed into another prime (47783117) 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, 23891568 + 23891569.

It is an arithmetic number, because the mean of its divisors is an integer number (23891569).

Almost surely, 247783137 is an apocalyptic number.

It is an amenable number.

47783137 is a deficient number, since it is larger than the sum of its proper divisors (1).

47783137 is an equidigital number, since it uses as much as digits as its factorization.

47783137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 98784, while the sum is 40.

The square root of 47783137 is about 6912.5347738728. The cubic root of 47783137 is about 362.8759780411.

The spelling of 47783137 in words is "forty-seven million, seven hundred eighty-three thousand, one hundred thirty-seven".