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726365268 = 223225778509
BaseRepresentation
bin101011010010110…
…111010001010100
31212121210011211100
4223102313101110
52441422142033
6200024310100
724000000666
oct5322672124
91777704740
10726365268
11343017a82
12183312330
13b7640b45
146c67c536
1543b7e513
hex2b4b7454

726365268 has 36 divisors (see below), whose sum is σ = 1843257780. Its totient is φ = 241176576.

The previous prime is 726365261. The next prime is 726365279. The reversal of 726365268 is 862563627.

It is a happy number.

726365268 is a `hidden beast` number, since 7 + 2 + 636 + 5 + 2 + 6 + 8 = 666.

726365268 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 701084484 + 25280784 = 26478^2 + 5028^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (726365261) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30003 + ... + 48506.

It is an arithmetic number, because the mean of its divisors is an integer number (51201605).

Almost surely, 2726365268 is an apocalyptic number.

It is an amenable number.

726365268 is an abundant number, since it is smaller than the sum of its proper divisors (1116892512).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

726365268 is a wasteful number, since it uses less digits than its factorization.

726365268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78776 (or 78771 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 726365268 is about 26951.1645017428. The cubic root of 726365268 is about 898.9144392945.

The spelling of 726365268 in words is "seven hundred twenty-six million, three hundred sixty-five thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 257 514 771 1028 1542 2313 3084 4626 9252 78509 157018 235527 314036 471054 706581 942108 1413162 2826324 20176813 40353626 60530439 80707252 121060878 181591317 242121756 363182634 726365268