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1439064225 = 36522812
BaseRepresentation
bin101010111000110…
…0110000010100001
310201021212001000000
41111301212002201
510421400023400
6354444050213
750442562344
oct12561460241
93637761000
101439064225
11679350285
12341b33969
1319c1a83c1
14d91a045b
158650e600
hex55c660a1

1439064225 has 63 divisors (see below), whose sum is σ = 2684990569. Its totient is φ = 764769600.

The previous prime is 1439064203. The next prime is 1439064239. The reversal of 1439064225 is 5224609341.

It is a happy number.

The square root of 1439064225 is 37935.

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

1439064225 is a `hidden beast` number, since 1 + 4 + 3 + 9 + 0 + 642 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2047761 + 1437016464 = 1431^2 + 37908^2 .

It is not a de Polignac number, because 1439064225 - 215 = 1439031457 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1439064225.

It is an unprimeable number.

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 62 ways as a sum of consecutive naturals, for example, 5121085 + ... + 5121365.

Almost surely, 21439064225 is an apocalyptic number.

1439064225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1439064225 is the 37935-th square number.

1439064225 is the 18968-th centered octagonal number.

It is an amenable number.

1439064225 is a deficient number, since it is larger than the sum of its proper divisors (1245926344).

1439064225 is an frugal number, since it uses more digits than its factorization.

1439064225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The cubic root of 1439064225 is about 1128.9985710991.

Multiplying 1439064225 by its sum of digits (36), we get a square (51806312100 = 2276102).

The spelling of 1439064225 in words is "one billion, four hundred thirty-nine million, sixty-four thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 243 281 405 675 729 843 1215 1405 2025 2529 3645 4215 6075 7025 7587 12645 18225 21075 22761 37935 63225 68283 78961 113805 189675 204849 236883 341415 394805 569025 710649 1024245 1184415 1707075 1974025 2131947 3553245 5121225 5922075 6395841 10659735 17766225 19187523 31979205 53298675 57562569 95937615 159896025 287812845 479688075 1439064225