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19782041 is a prime number
BaseRepresentation
bin100101101110…
…1100110011001
31101020000212012
41023131212121
520031011131
61543555305
7330100406
oct113354631
941200765
1019782041
11101915a4
12675bb35
134138166
1428ad2ad
151b0b52b
hex12dd999

19782041 has 2 divisors, whose sum is σ = 19782042. Its totient is φ = 19782040.

The previous prime is 19782029. The next prime is 19782043. The reversal of 19782041 is 14028791.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17606416 + 2175625 = 4196^2 + 1475^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-19782041 is a prime.

It is a super-2 number, since 2×197820412 = 782658292251362, which contains 22 as substring.

Together with 19782043, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p1257584 and since 19782041 and 1257584 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 19781989 and 19782007.

It is not a weakly prime, because it can be changed into another prime (19782043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 9891020 + 9891021.

It is an arithmetic number, because the mean of its divisors is an integer number (9891021).

Almost surely, 219782041 is an apocalyptic number.

It is an amenable number.

19782041 is a deficient number, since it is larger than the sum of its proper divisors (1).

19782041 is an equidigital number, since it uses as much as digits as its factorization.

19782041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4032, while the sum is 32.

The square root of 19782041 is about 4447.7006419048. The cubic root of 19782041 is about 270.4521049132.

The spelling of 19782041 in words is "nineteen million, seven hundred eighty-two thousand, forty-one".