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51782641 is a prime number
BaseRepresentation
bin1100010110001…
…0001111110001
310121102211102121
43011202033301
5101224021031
65045514241
71166100541
oct305421761
9117384377
1051782641
1127259079
1215412981
13a960921
146c3d321
15482d011
hex31623f1

51782641 has 2 divisors, whose sum is σ = 51782642. Its totient is φ = 51782640.

The previous prime is 51782609. The next prime is 51782651. The reversal of 51782641 is 14628715.

51782641 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., 51782416 + 225 = 7196^2 + 15^2 .

It is a cyclic number.

It is not a de Polignac number, because 51782641 - 25 = 51782609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 51782597 and 51782606.

It is not a weakly prime, because it can be changed into another prime (51782651) 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, 25891320 + 25891321.

It is an arithmetic number, because the mean of its divisors is an integer number (25891321).

Almost surely, 251782641 is an apocalyptic number.

It is an amenable number.

51782641 is a deficient number, since it is larger than the sum of its proper divisors (1).

51782641 is an equidigital number, since it uses as much as digits as its factorization.

51782641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 13440, while the sum is 34.

The square root of 51782641 is about 7196.0156336684. The cubic root of 51782641 is about 372.7303285510.

The spelling of 51782641 in words is "fifty-one million, seven hundred eighty-two thousand, six hundred forty-one".