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58048057 is a prime number
BaseRepresentation
bin1101110101101…
…1111000111001
311001020010222001
43131123320321
5104330014212
65432101001
71303254214
oct335337071
9131203861
1058048057
112a848401
1217534761
13c045682
1479d077b
155169657
hex375be39

58048057 has 2 divisors, whose sum is σ = 58048058. Its totient is φ = 58048056.

The previous prime is 58048037. The next prime is 58048061. The reversal of 58048057 is 75084085.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 52113961 + 5934096 = 7219^2 + 2436^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-58048057 is a prime.

It is not a weakly prime, because it can be changed into another prime (58048007) 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, 29024028 + 29024029.

It is an arithmetic number, because the mean of its divisors is an integer number (29024029).

Almost surely, 258048057 is an apocalyptic number.

It is an amenable number.

58048057 is a deficient number, since it is larger than the sum of its proper divisors (1).

58048057 is an equidigital number, since it uses as much as digits as its factorization.

58048057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 44800, while the sum is 37.

The square root of 58048057 is about 7618.9275492027. The cubic root of 58048057 is about 387.1945441575.

It can be divided in two parts, 5804 and 8057, that added together give a triangular number (13861 = T166).

The spelling of 58048057 in words is "fifty-eight million, forty-eight thousand, fifty-seven".