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5290380225 = 32521323732
BaseRepresentation
bin1001110110101010…
…01100101111000001
3111122200210011100100
410323111030233001
541313314131400
62232543113013
7245046330024
oct47325145701
914580704310
105290380225
112275310a69
1210378a2769
1366406bc00
1438288d1bb
1520e6b5100
hex13b54cbc1

5290380225 has 81 divisors (see below), whose sum is σ = 10288206747. Its totient is φ = 2597512320.

The previous prime is 5290380223. The next prime is 5290380239. The reversal of 5290380225 is 5220830925.

The square root of 5290380225 is 72735.

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

5290380225 is a `hidden beast` number, since 52 + 9 + 0 + 380 + 225 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 4838732721 + 451647504 = 69561^2 + 21252^2 .

It is not a de Polignac number, because 5290380225 - 21 = 5290380223 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 5290380225.

It is not an unprimeable number, because it can be changed into a prime (5290380223) 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 80 ways as a sum of consecutive naturals, for example, 14183139 + ... + 14183511.

Almost surely, 25290380225 is an apocalyptic number.

5290380225 is the 72735-th square number.

5290380225 is the 36368-th centered octagonal number.

It is an amenable number.

5290380225 is a deficient number, since it is larger than the sum of its proper divisors (4997826522).

5290380225 is a wasteful number, since it uses less digits than its factorization.

5290380225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The cubic root of 5290380225 is about 1742.4579066520.

Multiplying 5290380225 by its sum of digits (36), we get a square (190453688100 = 4364102).

The spelling of 5290380225 in words is "five billion, two hundred ninety million, three hundred eighty thousand, two hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 117 169 195 225 325 373 507 585 845 975 1119 1521 1865 2535 2925 3357 4225 4849 5595 7605 9325 12675 14547 16785 24245 27975 38025 43641 63037 72735 83925 121225 139129 189111 218205 315185 363675 417387 567333 695645 945555 1091025 1252161 1575925 1808677 2086935 2836665 3478225 4727775 5426031 6260805 9043385 10434675 14183325 16278093 23512801 27130155 31304025 45216925 70538403 81390465 117564005 135650775 211615209 352692015 406952325 587820025 1058076045 1763460075 5290380225