Search a number
-
+
55757641 is a prime number
BaseRepresentation
bin1101010010110…
…0101101001001
310212220210002211
43110230231021
5103233221031
65311025121
71244634502
oct324545511
9125823084
1055757641
11295235a5
121680b1a1
13b722cb4
147595ba9
154d65bb1
hex352cb49

55757641 has 2 divisors, whose sum is σ = 55757642. Its totient is φ = 55757640.

The previous prime is 55757621. The next prime is 55757659. The reversal of 55757641 is 14675755.

It is a happy number.

55757641 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., 28676025 + 27081616 = 5355^2 + 5204^2 .

It is a cyclic number.

It is not a de Polignac number, because 55757641 - 215 = 55724873 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 55757594 and 55757603.

It is not a weakly prime, because it can be changed into another prime (55757621) 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, 27878820 + 27878821.

It is an arithmetic number, because the mean of its divisors is an integer number (27878821).

Almost surely, 255757641 is an apocalyptic number.

It is an amenable number.

55757641 is a deficient number, since it is larger than the sum of its proper divisors (1).

55757641 is an equidigital number, since it uses as much as digits as its factorization.

55757641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 147000, while the sum is 40.

The square root of 55757641 is about 7467.1039232088. The cubic root of 55757641 is about 382.0335145070.

The spelling of 55757641 in words is "fifty-five million, seven hundred fifty-seven thousand, six hundred forty-one".