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258205981 = 11234492273
BaseRepresentation
bin11110110001111…
…10100100011101
3122222212020000111
433120332210131
51012100042411
641342130021
76253500055
oct1730764435
9588766014
10258205981
11122828a80
1272580911
1341656807
1426414565
1517a05721
hexf63e91d

258205981 has 16 divisors (see below), whose sum is σ = 294710400. Its totient is φ = 223928320.

The previous prime is 258205933. The next prime is 258206009. The reversal of 258205981 is 189502852.

It is not a de Polignac number, because 258205981 - 27 = 258205853 is a prime.

It is a super-2 number, since 2×2582059812 = 133340657248344722, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258205901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112461 + ... + 114733.

It is an arithmetic number, because the mean of its divisors is an integer number (18419400).

Almost surely, 2258205981 is an apocalyptic number.

It is an amenable number.

258205981 is a deficient number, since it is larger than the sum of its proper divisors (36504419).

258205981 is a wasteful number, since it uses less digits than its factorization.

258205981 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2756.

The product of its (nonzero) digits is 57600, while the sum is 40.

The square root of 258205981 is about 16068.7890334026. The cubic root of 258205981 is about 636.7790489309.

The spelling of 258205981 in words is "two hundred fifty-eight million, two hundred five thousand, nine hundred eighty-one".

Divisors: 1 11 23 253 449 2273 4939 10327 25003 52279 113597 575069 1020577 11226347 23473271 258205981