Search a number
-
+
56661363 = 3411193347
BaseRepresentation
bin1101100000100…
…1010101110011
310221121200210000
43120021111303
5104001130423
65342241043
71255420323
oct330112563
9127550700
1056661363
1129a90580
1216b86183
13b97b445
14774d283
154e93843
hex3609573

56661363 has 40 divisors (see below), whose sum is σ = 97225920. Its totient is φ = 32523120.

The previous prime is 56661343. The next prime is 56661373. The reversal of 56661363 is 36316665.

It is a happy number.

56661363 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 56661363 - 28 = 56661107 is a prime.

It is not an unprimeable number, because it can be changed into a prime (56661343) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 15256 + ... + 18602.

It is an arithmetic number, because the mean of its divisors is an integer number (2430648).

Almost surely, 256661363 is an apocalyptic number.

56661363 is a deficient number, since it is larger than the sum of its proper divisors (40564557).

56661363 is a wasteful number, since it uses less digits than its factorization.

56661363 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3389 (or 3380 counting only the distinct ones).

The product of its digits is 58320, while the sum is 36.

The square root of 56661363 is about 7527.3742433866. The cubic root of 56661363 is about 384.0864673446.

The spelling of 56661363 in words is "fifty-six million, six hundred sixty-one thousand, three hundred sixty-three".

Divisors: 1 3 9 11 19 27 33 57 81 99 171 209 297 513 627 891 1539 1881 3347 5643 10041 16929 30123 36817 63593 90369 110451 190779 271107 331353 572337 699523 994059 1717011 2098569 2982177 5151033 6295707 18887121 56661363