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50057629 is a prime number
BaseRepresentation
bin1011111011110…
…1000110011101
310111012012011021
42332331012131
5100303321004
64544524141
71145324416
oct276750635
9114165137
1050057629
1126290046
1214920651
13a4a86cb
14691080d
1545dbd54
hex2fbd19d

50057629 has 2 divisors, whose sum is σ = 50057630. Its totient is φ = 50057628.

The previous prime is 50057569. The next prime is 50057641. The reversal of 50057629 is 92675005.

50057629 is nontrivially palindromic in base 15.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 43692100 + 6365529 = 6610^2 + 2523^2 .

It is a cyclic number.

It is not a de Polignac number, because 50057629 - 211 = 50055581 is a prime.

It is a super-2 number, since 2×500576292 = 5011532442203282, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 50057594 and 50057603.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (50051629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25028814 + 25028815.

It is an arithmetic number, because the mean of its divisors is an integer number (25028815).

Almost surely, 250057629 is an apocalyptic number.

It is an amenable number.

50057629 is a deficient number, since it is larger than the sum of its proper divisors (1).

50057629 is an equidigital number, since it uses as much as digits as its factorization.

50057629 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18900, while the sum is 34.

The square root of 50057629 is about 7075.1416240242. The cubic root of 50057629 is about 368.5446335550.

The spelling of 50057629 in words is "fifty million, fifty-seven thousand, six hundred twenty-nine".