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58901629 is a prime number
BaseRepresentation
bin1110000010110…
…0010001111101
311002211111211211
43200230101331
5110034323004
65502244421
71313440603
oct340542175
9132744754
1058901629
1130280736
1217886711
13c284047
147b73873
155287504
hex382c47d

58901629 has 2 divisors, whose sum is σ = 58901630. Its totient is φ = 58901628.

The previous prime is 58901599. The next prime is 58901641. The reversal of 58901629 is 92610985.

58901629 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., 36120100 + 22781529 = 6010^2 + 4773^2 .

It is a cyclic number.

It is not a de Polignac number, because 58901629 - 215 = 58868861 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 58901591 and 58901600.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (58901329) 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, 29450814 + 29450815.

It is an arithmetic number, because the mean of its divisors is an integer number (29450815).

Almost surely, 258901629 is an apocalyptic number.

It is an amenable number.

58901629 is a deficient number, since it is larger than the sum of its proper divisors (1).

58901629 is an equidigital number, since it uses as much as digits as its factorization.

58901629 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 38880, while the sum is 40.

The square root of 58901629 is about 7674.7396698520. The cubic root of 58901629 is about 389.0831608056.

The spelling of 58901629 in words is "fifty-eight million, nine hundred one thousand, six hundred twenty-nine".