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258086411 = 11101233997
BaseRepresentation
bin11110110001000…
…01011000001011
3122222122010222222
433120201120023
51012032231121
641335404255
76252461342
oct1730413013
9588563888
10258086411
11122757160
127252368b
134161426b
14263c2b59
15179d00ab
hexf62160b

258086411 has 16 divisors (see below), whose sum is σ = 285843168. Its totient is φ = 231072000.

The previous prime is 258086393. The next prime is 258086429. The reversal of 258086411 is 114680852.

It is an interprime number because it is at equal distance from previous prime (258086393) and next prime (258086429).

It is a cyclic number.

It is not a de Polignac number, because 258086411 - 26 = 258086347 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (258086441) 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 in 15 ways as a sum of consecutive naturals, for example, 258365 + ... + 259361.

It is an arithmetic number, because the mean of its divisors is an integer number (17865198).

Almost surely, 2258086411 is an apocalyptic number.

258086411 is a deficient number, since it is larger than the sum of its proper divisors (27756757).

258086411 is a wasteful number, since it uses less digits than its factorization.

258086411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342.

The product of its (nonzero) digits is 15360, while the sum is 35.

The square root of 258086411 is about 16065.0680359593. The cubic root of 258086411 is about 636.6807405616.

The spelling of 258086411 in words is "two hundred fifty-eight million, eighty-six thousand, four hundred eleven".

Divisors: 1 11 101 233 997 1111 2563 10967 23533 100697 232301 258863 1107667 2555311 23462401 258086411