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55784041 is a prime number
BaseRepresentation
bin1101010011001…
…1001001101001
310212222010022121
43110303021221
5103240042131
65311351241
71245104455
oct324631151
9125863277
1055784041
1129541415
1216822521
13b732011
1475a1665
154d6d911
hex3533269

55784041 has 2 divisors, whose sum is σ = 55784042. Its totient is φ = 55784040.

The previous prime is 55784009. The next prime is 55784063. The reversal of 55784041 is 14048755.

55784041 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., 51768025 + 4016016 = 7195^2 + 2004^2 .

It is a cyclic number.

It is not a de Polignac number, because 55784041 - 25 = 55784009 is a prime.

It is a super-2 number, since 2×557840412 = 6223718460579362, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 55783988 and 55784006.

It is not a weakly prime, because it can be changed into another prime (55784341) 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, 27892020 + 27892021.

It is an arithmetic number, because the mean of its divisors is an integer number (27892021).

Almost surely, 255784041 is an apocalyptic number.

It is an amenable number.

55784041 is a deficient number, since it is larger than the sum of its proper divisors (1).

55784041 is an equidigital number, since it uses as much as digits as its factorization.

55784041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 22400, while the sum is 34.

The square root of 55784041 is about 7468.8714676315. The cubic root of 55784041 is about 382.0937997775.

The spelling of 55784041 in words is "fifty-five million, seven hundred eighty-four thousand, forty-one".