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59456041 is a prime number
BaseRepresentation
bin1110001011001…
…1101000101001
311010212200100121
43202303220221
5110210043131
65522203241
71321240141
oct342635051
9133780317
1059456041
113061a227
1217ab3521
13c4194b8
147c79921
155346911
hex38b3a29

59456041 has 2 divisors, whose sum is σ = 59456042. Its totient is φ = 59456040.

The previous prime is 59456017. The next prime is 59456051. The reversal of 59456041 is 14065495.

59456041 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., 58201641 + 1254400 = 7629^2 + 1120^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-59456041 is a prime.

It is a super-2 number, since 2×594560412 = 7070041622787362, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 59455988 and 59456006.

It is not a weakly prime, because it can be changed into another prime (59456051) 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, 29728020 + 29728021.

It is an arithmetic number, because the mean of its divisors is an integer number (29728021).

Almost surely, 259456041 is an apocalyptic number.

It is an amenable number.

59456041 is a deficient number, since it is larger than the sum of its proper divisors (1).

59456041 is an equidigital number, since it uses as much as digits as its factorization.

59456041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21600, while the sum is 34.

The square root of 59456041 is about 7710.7743450318. The cubic root of 59456041 is about 390.3000999404.

The spelling of 59456041 in words is "fifty-nine million, four hundred fifty-six thousand, forty-one".