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2048400517 is a prime number
BaseRepresentation
bin111101000011000…
…0001110010000101
312021202102112020211
41322012001302011
513143342304032
6535132155421
7101522055112
oct17206016205
95252375224
102048400517
119612a5699
12492008b71
132684c2717
14156097909
15bec73747
hex7a181c85

2048400517 has 2 divisors, whose sum is σ = 2048400518. Its totient is φ = 2048400516.

The previous prime is 2048400511. The next prime is 2048400637. The reversal of 2048400517 is 7150048402.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1155048196 + 893352321 = 33986^2 + 29889^2 .

It is a cyclic number.

It is not a de Polignac number, because 2048400517 - 227 = 1914182789 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2048400511) 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, 1024200258 + 1024200259.

It is an arithmetic number, because the mean of its divisors is an integer number (1024200259).

Almost surely, 22048400517 is an apocalyptic number.

It is an amenable number.

2048400517 is a deficient number, since it is larger than the sum of its proper divisors (1).

2048400517 is an equidigital number, since it uses as much as digits as its factorization.

2048400517 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8960, while the sum is 31.

The square root of 2048400517 is about 45259.2589090895. The cubic root of 2048400517 is about 1270.0036201769.

Adding to 2048400517 its reverse (7150048402), we get a palindrome (9198448919).

The spelling of 2048400517 in words is "two billion, forty-eight million, four hundred thousand, five hundred seventeen".