Search a number
-
+
59005039 is a prime number
BaseRepresentation
bin1110000100010…
…1100001101111
311010000202200211
43201011201233
5110101130124
65504403251
71314351232
oct341054157
9133022624
1059005039
11303413a5
1217916527
13c2bc132
147b9d419
1552a7e94
hex384586f

59005039 has 2 divisors, whose sum is σ = 59005040. Its totient is φ = 59005038.

The previous prime is 59005031. The next prime is 59005087. The reversal of 59005039 is 93050095.

59005039 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 59005039 - 23 = 59005031 is a prime.

It is equal to p3506593 and since 59005039 and 3506593 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 59005039.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (59005031) 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, 29502519 + 29502520.

It is an arithmetic number, because the mean of its divisors is an integer number (29502520).

Almost surely, 259005039 is an apocalyptic number.

59005039 is a deficient number, since it is larger than the sum of its proper divisors (1).

59005039 is an equidigital number, since it uses as much as digits as its factorization.

59005039 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6075, while the sum is 31.

The square root of 59005039 is about 7681.4737518265. The cubic root of 59005039 is about 389.3107242147.

The spelling of 59005039 in words is "fifty-nine million, five thousand, thirty-nine".