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6928065225 = 32523121792
BaseRepresentation
bin1100111001111000…
…11110001011001001
3122212211101011211100
412130330132023021
5103142041041400
63103244252013
7333453403614
oct63474361311
918784334740
106928065225
112a35791a44
121414241009
1386543a8a3
1449a19317b
152a835a100
hex19cf1e2c9

6928065225 has 81 divisors (see below), whose sum is σ = 12894167559. Its totient is φ = 3555799200.

The previous prime is 6928065173. The next prime is 6928065239. The reversal of 6928065225 is 5225608296.

The square root of 6928065225 is 83235.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2494103481 + 4433961744 = 49941^2 + 66588^2 .

It is not a de Polignac number, because 6928065225 - 29 = 6928064713 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 38704186 + ... + 38704364.

Almost surely, 26928065225 is an apocalyptic number.

6928065225 is the 83235-th square number.

6928065225 is the 41618-th centered octagonal number.

It is an amenable number.

6928065225 is a deficient number, since it is larger than the sum of its proper divisors (5966102334).

6928065225 is a wasteful number, since it uses less digits than its factorization.

6928065225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The cubic root of 6928065225 is about 1906.3559280382.

The spelling of 6928065225 in words is "six billion, nine hundred twenty-eight million, sixty-five thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 31 45 75 93 155 179 225 279 465 537 775 895 961 1395 1611 2325 2685 2883 4475 4805 5549 6975 8055 8649 13425 14415 16647 24025 27745 32041 40275 43245 49941 72075 83235 96123 138725 160205 172019 216225 249705 288369 416175 480615 516057 801025 860095 993271 1248525 1441845 1548171 2403075 2580285 2979813 4300475 4966355 7209225 7740855 8939439 12901425 14899065 24831775 30791401 38704275 44697195 74495325 92374203 153957005 223485975 277122609 461871015 769785025 1385613045 2309355075 6928065225