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3966525 = 325217261
BaseRepresentation
bin1111001000011000111101
321110112001100
433020120331
52003412100
6221003313
745500133
oct17103075
97415040
103966525
11226a122
1213b3539
13a8b574
14753753
15535400
hex3c863d

3966525 has 54 divisors (see below), whose sum is σ = 7670702. Its totient is φ = 1958400.

The previous prime is 3966517. The next prime is 3966539. The reversal of 3966525 is 5256693.

It can be written as a sum of positive squares in 9 ways, for example, as 1052676 + 2913849 = 1026^2 + 1707^2 .

It is not a de Polignac number, because 3966525 - 23 = 3966517 is a prime.

It is a Duffinian number.

3966525 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 3966525.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 64995 + ... + 65055.

Almost surely, 23966525 is an apocalyptic number.

It is an amenable number.

3966525 is a deficient number, since it is larger than the sum of its proper divisors (3704177).

3966525 is a wasteful number, since it uses less digits than its factorization.

3966525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 86 counting only the distinct ones).

The product of its digits is 48600, while the sum is 36.

The square root of 3966525 is about 1991.6136673562. The cubic root of 3966525 is about 158.2960453898.

It can be divided in two parts, 39 and 66525, that added together give a square (66564 = 2582).

The spelling of 3966525 in words is "three million, nine hundred sixty-six thousand, five hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 45 51 61 75 85 153 183 225 255 289 305 425 549 765 867 915 1037 1275 1445 1525 2601 2745 3111 3825 4335 4575 5185 7225 9333 13005 13725 15555 17629 21675 25925 46665 52887 65025 77775 88145 158661 233325 264435 440725 793305 1322175 3966525