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3623985 = 325292777
BaseRepresentation
bin1101110100110000110001
320211010011200
431310300301
51411431420
6205401413
742542361
oct15646061
96733150
103623985
112055832
121269269
1399b691
146a49a1
154b8b90
hex374c31

3623985 has 24 divisors (see below), whose sum is σ = 6500520. Its totient is φ = 1865472.

The previous prime is 3623969. The next prime is 3623987. The reversal of 3623985 is 5893263.

3623985 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 74529 + 3549456 = 273^2 + 1884^2 .

It is not a de Polignac number, because 3623985 - 24 = 3623969 is a prime.

It is a Curzon number.

3623985 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (3623987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84 + ... + 2693.

It is an arithmetic number, because the mean of its divisors is an integer number (270855).

Almost surely, 23623985 is an apocalyptic number.

It is an amenable number.

3623985 is a deficient number, since it is larger than the sum of its proper divisors (2876535).

3623985 is a wasteful number, since it uses less digits than its factorization.

3623985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2817 (or 2814 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 3623985 is about 1903.6767057460. The cubic root of 3623985 is about 153.6015024674.

The spelling of 3623985 in words is "three million, six hundred twenty-three thousand, nine hundred eighty-five".

Divisors: 1 3 5 9 15 29 45 87 145 261 435 1305 2777 8331 13885 24993 41655 80533 124965 241599 402665 724797 1207995 3623985