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259243201 = 71937139379
BaseRepresentation
bin11110111001110…
…11110011000001
3200001210220211001
433130323303001
51012331240301
641420252001
76265350040
oct1734736301
9601726731
10259243201
11123377288
12729a1001
134192a959
1426604557
1517b5cc01
hexf73bcc1

259243201 has 32 divisors (see below), whose sum is σ = 323456000. Its totient is φ = 202813632.

The previous prime is 259243199. The next prime is 259243213. The reversal of 259243201 is 102342952.

It is not a de Polignac number, because 259243201 - 21 = 259243199 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 259243201.

It is not an unprimeable number, because it can be changed into a prime (259243291) 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 31 ways as a sum of consecutive naturals, for example, 683830 + ... + 684208.

It is an arithmetic number, because the mean of its divisors is an integer number (10108000).

Almost surely, 2259243201 is an apocalyptic number.

It is an amenable number.

259243201 is a deficient number, since it is larger than the sum of its proper divisors (64212799).

259243201 is a wasteful number, since it uses less digits than its factorization.

259243201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581.

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 259243201 is about 16101.0310539419. The cubic root of 259243201 is about 637.6305623140.

The spelling of 259243201 in words is "two hundred fifty-nine million, two hundred forty-three thousand, two hundred one".

Divisors: 1 7 19 37 133 139 259 379 703 973 2641 2653 4921 5143 7201 14023 18487 36001 50407 52681 97717 98161 266437 368767 684019 1000939 1865059 1949197 7006573 13644379 37034743 259243201