Search a number
-
+
258000077 is a prime number
BaseRepresentation
bin11110110000011…
…00010011001101
3122222110202120102
433120030103031
51012022000302
641333500445
76251651546
oct1730142315
9588422512
10258000077
111226a8305
12724a1725
13415b3b8a
142639d4cd
15179b4702
hexf60c4cd

258000077 has 2 divisors, whose sum is σ = 258000078. Its totient is φ = 258000076.

The previous prime is 258000059. The next prime is 258000089. The reversal of 258000077 is 770000852.

258000077 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., 244265641 + 13734436 = 15629^2 + 3706^2 .

It is a cyclic number.

It is not a de Polignac number, because 258000077 - 28 = 257999821 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (258000047) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 129000038 + 129000039.

It is an arithmetic number, because the mean of its divisors is an integer number (129000039).

Almost surely, 2258000077 is an apocalyptic number.

It is an amenable number.

258000077 is a deficient number, since it is larger than the sum of its proper divisors (1).

258000077 is an equidigital number, since it uses as much as digits as its factorization.

258000077 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3920, while the sum is 29.

The square root of 258000077 is about 16062.3808011141. The cubic root of 258000077 is about 636.6097393737.

The spelling of 258000077 in words is "two hundred fifty-eight million, seventy-seven", and thus it is an aban number.