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1604365225 = 521719210457
BaseRepresentation
bin101111110100000…
…1010101110101001
311010210220012100021
41133220022232221
511241204141400
6423111040441
754520610431
oct13750125651
94123805307
101604365225
11753693381
12389370121
131c7503948
1411310d2c1
1595cb271a
hex5fa0aba9

1604365225 has 36 divisors (see below), whose sum is σ = 2223349884. Its totient is φ = 1144304640.

The previous prime is 1604365201. The next prime is 1604365241. The reversal of 1604365225 is 5225634061.

It can be written as a sum of positive squares in 6 ways, for example, as 91699776 + 1512665449 = 9576^2 + 38893^2 .

It is not a de Polignac number, because 1604365225 - 25 = 1604365193 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 148197 + ... + 158653.

It is an arithmetic number, because the mean of its divisors is an integer number (61759719).

Almost surely, 21604365225 is an apocalyptic number.

It is an amenable number.

1604365225 is a deficient number, since it is larger than the sum of its proper divisors (618984659).

1604365225 is a wasteful number, since it uses less digits than its factorization.

1604365225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10522 (or 10498 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

The square root of 1604365225 is about 40054.5281460162. The cubic root of 1604365225 is about 1170.6697957049.

Adding to 1604365225 its reverse (5225634061), we get a palindrome (6829999286).

The spelling of 1604365225 in words is "one billion, six hundred four million, three hundred sixty-five thousand, two hundred twenty-five".

Divisors: 1 5 17 19 25 85 95 323 361 425 475 1615 1805 6137 8075 9025 10457 30685 52285 153425 177769 198683 261425 888845 993415 3377611 3774977 4444225 4967075 16888055 18874885 64174609 84440275 94374425 320873045 1604365225