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55029937 is a prime number
BaseRepresentation
bin1101000111101…
…1000010110001
310211112210212211
43101323002301
5103041424222
65243252121
71235514064
oct321730261
9124483784
1055029937
1129076896
121651a041
13b5299c1
1474468db
154c70277
hex347b0b1

55029937 has 2 divisors, whose sum is σ = 55029938. Its totient is φ = 55029936.

The previous prime is 55029917. The next prime is 55029977. The reversal of 55029937 is 73992055.

55029937 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (55029977) can be obtained adding 55029937 to its sum of digits (40).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 44635761 + 10394176 = 6681^2 + 3224^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-55029937 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 55029937.

It is not a weakly prime, because it can be changed into another prime (55029917) 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, 27514968 + 27514969.

It is an arithmetic number, because the mean of its divisors is an integer number (27514969).

Almost surely, 255029937 is an apocalyptic number.

It is an amenable number.

55029937 is a deficient number, since it is larger than the sum of its proper divisors (1).

55029937 is an equidigital number, since it uses as much as digits as its factorization.

55029937 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 85050, while the sum is 40.

The square root of 55029937 is about 7418.2165646468. The cubic root of 55029937 is about 380.3642329475.

The spelling of 55029937 in words is "fifty-five million, twenty-nine thousand, nine hundred thirty-seven".