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258913991 = 727372383
BaseRepresentation
bin11110110111010…
…11011011000111
3200001012012020002
433123223123013
51012240221431
641405231515
76262506200
oct1733533307
9601165202
10258913991
11123171a06
127286259b
1341843b5b
142655a5a7
1517ae53cb
hexf6eb6c7

258913991 has 12 divisors (see below), whose sum is σ = 305315712. Its totient is φ = 218883168.

The previous prime is 258913987. The next prime is 258914003. The reversal of 258913991 is 199319852.

It is not a de Polignac number, because 258913991 - 22 = 258913987 is a prime.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258913091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32615 + ... + 39768.

It is an arithmetic number, because the mean of its divisors is an integer number (25442976).

Almost surely, 2258913991 is an apocalyptic number.

258913991 is a deficient number, since it is larger than the sum of its proper divisors (46401721).

258913991 is an equidigital number, since it uses as much as digits as its factorization.

258913991 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72470 (or 72463 counting only the distinct ones).

The product of its digits is 174960, while the sum is 47.

The square root of 258913991 is about 16090.8045479398. The cubic root of 258913991 is about 637.3605413771.

The spelling of 258913991 in words is "two hundred fifty-eight million, nine hundred thirteen thousand, nine hundred ninety-one".

Divisors: 1 7 49 73 511 3577 72383 506681 3546767 5283959 36987713 258913991