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42612525 = 3252189389
BaseRepresentation
bin1010001010001…
…1011100101101
32222011221101200
42202203130231
541402100100
64121200113
71025125524
oct242433455
988157350
1042612525
112206546a
1212330039
138a9ca17
1459334bb
153b1ae00
hex28a372d

42612525 has 18 divisors (see below), whose sum is σ = 76324170. Its totient is φ = 22726560.

The previous prime is 42612517. The next prime is 42612533. The reversal of 42612525 is 52521624.

42612525 is a `hidden beast` number, since 42 + 612 + 5 + 2 + 5 = 666.

42612525 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42612517) and next prime (42612533).

It can be written as a sum of positive squares in 3 ways, for example, as 9400356 + 33212169 = 3066^2 + 5763^2 .

It is not a de Polignac number, because 42612525 - 23 = 42612517 is a prime.

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 94470 + ... + 94919.

Almost surely, 242612525 is an apocalyptic number.

42612525 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42612525 is a deficient number, since it is larger than the sum of its proper divisors (33711645).

42612525 is a wasteful number, since it uses less digits than its factorization.

42612525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189405 (or 189397 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 42612525 is about 6527.8269738099. The cubic root of 42612525 is about 349.2843198875.

Subtracting 42612525 from its reverse (52521624), we obtain a palindrome (9909099).

It can be divided in two parts, 4261 and 2525, that added together give a triangular number (6786 = T116).

The spelling of 42612525 in words is "forty-two million, six hundred twelve thousand, five hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 189389 568167 946945 1704501 2840835 4734725 8522505 14204175 42612525