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5360436225 = 345216272
BaseRepresentation
bin1001111111000000…
…11100010000000001
3111211120121101010000
410333200130100001
541434232424400
62243524430213
7246556645644
oct47740342001
914746541100
105360436225
112300910091
121057248369
1367572a071
1438bcc7a5b
15215902600
hex13f81c401

5360436225 has 45 divisors (see below), whose sum is σ = 9935487507. Its totient is φ = 2857142160.

The previous prime is 5360436197. The next prime is 5360436229. The reversal of 5360436225 is 5226340635.

The square root of 5360436225 is 73215.

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

5360436225 is a `hidden beast` number, since 536 + 0 + 43 + 62 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1929757041 + 3430679184 = 43929^2 + 58572^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 5360436225 - 29 = 5360435713 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 5360436225.

It is not an unprimeable number, because it can be changed into a prime (5360436229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3293862 + ... + 3295488.

Almost surely, 25360436225 is an apocalyptic number.

5360436225 is the 73215-th square number.

5360436225 is the 36608-th centered octagonal number.

It is an amenable number.

5360436225 is a deficient number, since it is larger than the sum of its proper divisors (4575051282).

5360436225 is an frugal number, since it uses more digits than its factorization.

5360436225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3276 (or 1635 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The cubic root of 5360436225 is about 1750.1154998598.

Multiplying 5360436225 by its sum of digits (36), we get a square (192975704100 = 4392902).

Multiplying 5360436225 by its product of nonzero digits (129600), we get a square (694712534760000 = 263574002).

The spelling of 5360436225 in words is "five billion, three hundred sixty million, four hundred thirty-six thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 1627 2025 4881 8135 14643 24405 40675 43929 73215 122025 131787 219645 366075 658935 1098225 2647129 3294675 7941387 13235645 23824161 39706935 66178225 71472483 119120805 198534675 214417449 357362415 595604025 1072087245 1786812075 5360436225