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258238017 = 339564371
BaseRepresentation
bin11110110010001…
…10011001000001
3122222220211222000
433121012121001
51012102104032
641342534213
76253662342
oct1731063101
9588824860
10258238017
11122850054
1272597369
134166827b
14264220c9
1517a0ee7c
hexf646641

258238017 has 8 divisors (see below), whose sum is σ = 382574880. Its totient is φ = 172158660.

The previous prime is 258237979. The next prime is 258238031. The reversal of 258238017 is 710832852.

It is not a de Polignac number, because 258238017 - 28 = 258237761 is a prime.

It is not an unprimeable number, because it can be changed into a prime (258238067) 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 7 ways as a sum of consecutive naturals, for example, 4782159 + ... + 4782212.

It is an arithmetic number, because the mean of its divisors is an integer number (47821860).

Almost surely, 2258238017 is an apocalyptic number.

258238017 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

258238017 is a deficient number, since it is larger than the sum of its proper divisors (124336863).

258238017 is an equidigital number, since it uses as much as digits as its factorization.

258238017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9564380 (or 9564374 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 258238017 is about 16069.7858417591. The cubic root of 258238017 is about 636.8053832163.

The spelling of 258238017 in words is "two hundred fifty-eight million, two hundred thirty-eight thousand, seventeen".

Divisors: 1 3 9 27 9564371 28693113 86079339 258238017