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258833341 = 13142913933
BaseRepresentation
bin11110110110101…
…11101110111101
3200001001002121001
433123113232331
51012230131331
641403410301
76262022104
oct1733275675
9601032531
10258833341
11123117358
1272823991
1341816230
142653903b
1517acb561
hexf6d7bbd

258833341 has 8 divisors (see below), whose sum is σ = 278958680. Its totient is φ = 238738752.

The previous prime is 258833339. The next prime is 258833387. The reversal of 258833341 is 143338852.

It can be written as a sum of positive squares in 4 ways, for example, as 23088025 + 235745316 = 4805^2 + 15354^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 258833341 - 21 = 258833339 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 258833341.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258833441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11611 + ... + 25543.

It is an arithmetic number, because the mean of its divisors is an integer number (34869835).

Almost surely, 2258833341 is an apocalyptic number.

It is an amenable number.

258833341 is a deficient number, since it is larger than the sum of its proper divisors (20125339).

258833341 is a wasteful number, since it uses less digits than its factorization.

258833341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15375.

The product of its digits is 69120, while the sum is 37.

The square root of 258833341 is about 16088.2982630233. The cubic root of 258833341 is about 637.2943566367.

The spelling of 258833341 in words is "two hundred fifty-eight million, eight hundred thirty-three thousand, three hundred forty-one".

Divisors: 1 13 1429 13933 18577 181129 19910257 258833341