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268204095 = 33519313373
BaseRepresentation
bin11111111110001…
…11100000111111
3200200200011212000
433333013200333
51022130012340
642340313343
76434461065
oct1777074077
9620604760
10268204095
11128437785
12759a2853
1343747563
1427898035
151882cd30
hexffc783f

268204095 has 64 divisors (see below), whose sum is σ = 518246400. Its totient is φ = 131103360.

The previous prime is 268204067. The next prime is 268204099. The reversal of 268204095 is 590402862.

It is a happy number.

It is not a de Polignac number, because 268204095 - 210 = 268203071 is a prime.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268204099) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 77829 + ... + 81201.

It is an arithmetic number, because the mean of its divisors is an integer number (8097600).

Almost surely, 2268204095 is an apocalyptic number.

268204095 is a deficient number, since it is larger than the sum of its proper divisors (250042305).

268204095 is a wasteful number, since it uses less digits than its factorization.

268204095 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3437 (or 3431 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 268204095 is about 16376.9379005967. The cubic root of 268204095 is about 644.8941957332.

The spelling of 268204095 in words is "two hundred sixty-eight million, two hundred four thousand, ninety-five".

Divisors: 1 3 5 9 15 19 27 31 45 57 93 95 135 155 171 279 285 465 513 589 837 855 1395 1767 2565 2945 3373 4185 5301 8835 10119 15903 16865 26505 30357 50595 64087 79515 91071 104563 151785 192261 313689 320435 455355 522815 576783 941067 961305 1568445 1730349 1986697 2823201 2883915 4705335 5960091 8651745 9933485 14116005 17880273 29800455 53640819 89401365 268204095