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3502864225 = 5272192892
BaseRepresentation
bin1101000011001001…
…0111011101100001
3100001010020221101001
43100302113131201
524133213123400
61335330312001
7152542566100
oct32062273541
910033227331
103502864225
111538303813
12819128601
1343a930233
14253306037
151577c5a6a
hexd0c97761

3502864225 has 81 divisors (see below), whose sum is σ = 5393221497. Its totient is φ = 2249976960.

The previous prime is 3502864201. The next prime is 3502864231. The reversal of 3502864225 is 5224682053.

The square root of 3502864225 is 59185.

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

3502864225 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 4 ways, for example, as 728946001 + 2773918224 = 26999^2 + 52668^2 .

It is not a de Polignac number, because 3502864225 - 217 = 3502733153 is a prime.

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, 39357981 + ... + 39358069.

Almost surely, 23502864225 is an apocalyptic number.

3502864225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3502864225 is the 59185-th square number.

3502864225 is the 29593-rd centered octagonal number.

It is an amenable number.

3502864225 is a deficient number, since it is larger than the sum of its proper divisors (1890357272).

3502864225 is an equidigital number, since it uses as much as digits as its factorization.

3502864225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 37.

The cubic root of 3502864225 is about 1518.7085384426.

The spelling of 3502864225 in words is "three billion, five hundred two million, eight hundred sixty-four thousand, two hundred twenty-five".

Divisors: 1 5 7 19 25 35 49 89 95 133 175 245 361 445 475 623 665 931 1225 1691 1805 2225 2527 3115 3325 4361 4655 7921 8455 9025 11837 12635 15575 17689 21805 23275 32129 39605 42275 55447 59185 63175 82859 88445 109025 150499 160645 198025 224903 277235 295925 388129 414295 442225 752495 803225 1053493 1124515 1386175 1574321 1940645 2071475 2859481 3762475 5267465 5622575 7374451 7871605 9703225 14297405 20016367 26337325 36872255 39358025 71487025 100081835 140114569 184361275 500409175 700572845 3502864225