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56306653 = 1341149709
BaseRepresentation
bin1101011011001…
…0101111011101
310220221200012121
43112302233131
5103403303103
65330502541
71252412224
oct326625735
9126850177
1056306653
1129869027
1216a34a51
13b885b60
147699cbb
154e236bd
hex35b2bdd

56306653 has 16 divisors (see below), whose sum is σ = 62622000. Its totient is φ = 50296320.

The previous prime is 56306647. The next prime is 56306659. The reversal of 56306653 is 35660365.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (56306647) and next prime (56306659).

It can be written as a sum of positive squares in 8 ways, for example, as 34609689 + 21696964 = 5883^2 + 4658^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-56306653 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56306659) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 79063 + ... + 79771.

It is an arithmetic number, because the mean of its divisors is an integer number (3913875).

Almost surely, 256306653 is an apocalyptic number.

It is an amenable number.

56306653 is a deficient number, since it is larger than the sum of its proper divisors (6315347).

56306653 is a wasteful number, since it uses less digits than its factorization.

56306653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912.

The product of its (nonzero) digits is 48600, while the sum is 34.

The square root of 56306653 is about 7503.7759161638. The cubic root of 56306653 is about 383.2833063049.

The spelling of 56306653 in words is "fifty-six million, three hundred six thousand, six hundred fifty-three".

Divisors: 1 13 41 149 533 709 1937 6109 9217 29069 79417 105641 377897 1373333 4331281 56306653