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19048541 is a prime number
BaseRepresentation
bin100100010101…
…0100001011101
31022211202200112
41020222201131
514334023131
61520135405
7320624051
oct110524135
938752615
1019048541
11a8304a6
126467565
133c3c335
14275bc61
151a1402b
hex122a85d

19048541 has 2 divisors, whose sum is σ = 19048542. Its totient is φ = 19048540.

The previous prime is 19048529. The next prime is 19048543. The reversal of 19048541 is 14584091.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15132100 + 3916441 = 3890^2 + 1979^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-19048541 is a prime.

Together with 19048543, 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 = 19048498 and 19048507.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (19048543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 9524270 + 9524271.

It is an arithmetic number, because the mean of its divisors is an integer number (9524271).

Almost surely, 219048541 is an apocalyptic number.

It is an amenable number.

19048541 is a deficient number, since it is larger than the sum of its proper divisors (1).

19048541 is an equidigital number, since it uses as much as digits as its factorization.

19048541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 19048541 is about 4364.4634263561. The cubic root of 19048541 is about 267.0672117776.

The spelling of 19048541 in words is "nineteen million, forty-eight thousand, five hundred forty-one".