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164313525 = 3525971523
BaseRepresentation
bin10011100101100…
…11100110110101
3102110011222210010
421302303212311
5314031013100
624145450433
74033433115
oct1162634665
9373158703
10164313525
1184829202
1247040a19
1328070c4c
1417b73045
15e65a750
hex9cb39b5

164313525 has 48 divisors (see below), whose sum is σ = 280696320. Its totient is φ = 84772800.

The previous prime is 164313509. The next prime is 164313557. The reversal of 164313525 is 525313461.

It is not a de Polignac number, because 164313525 - 24 = 164313509 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 164313492 and 164313501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 313914 + ... + 314436.

It is an arithmetic number, because the mean of its divisors is an integer number (5847840).

Almost surely, 2164313525 is an apocalyptic number.

164313525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

164313525 is a deficient number, since it is larger than the sum of its proper divisors (116382795).

164313525 is a wasteful number, since it uses less digits than its factorization.

164313525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 661 counting only the distinct ones).

The product of its digits is 10800, while the sum is 30.

The square root of 164313525 is about 12818.4837246844. The cubic root of 164313525 is about 547.7189549797.

Adding to 164313525 its reverse (525313461), we get a palindrome (689626986).

The spelling of 164313525 in words is "one hundred sixty-four million, three hundred thirteen thousand, five hundred twenty-five".

Divisors: 1 3 5 15 25 59 71 75 177 213 295 355 523 885 1065 1475 1569 1775 2615 4189 4425 5325 7845 12567 13075 20945 30857 37133 39225 62835 92571 104725 111399 154285 185665 314175 462855 556995 771425 928325 2190847 2314275 2784975 6572541 10954235 32862705 54771175 164313525