Search a number
-
+
56590513 = 7291132467
BaseRepresentation
bin1101011111100…
…0000010110001
310221111002120221
43113320002301
5103441344023
65340533041
71255003630
oct327700261
9127432527
1056590513
1129a42321
1216b51181
13b955115
147731517
154e7c85d
hex35f80b1

56590513 has 16 divisors (see below), whose sum is σ = 67524480. Its totient is φ = 46400256.

The previous prime is 56590507. The next prime is 56590517. The reversal of 56590513 is 31509565.

56590513 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-56590513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (56590517) 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 15 ways as a sum of consecutive naturals, for example, 21706 + ... + 24172.

It is an arithmetic number, because the mean of its divisors is an integer number (4220280).

Almost surely, 256590513 is an apocalyptic number.

It is an amenable number.

56590513 is a deficient number, since it is larger than the sum of its proper divisors (10933967).

56590513 is a wasteful number, since it uses less digits than its factorization.

56590513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2616.

The product of its (nonzero) digits is 20250, while the sum is 34.

The square root of 56590513 is about 7522.6666149711. Note that the first 4 decimals coincide. The cubic root of 56590513 is about 383.9263119057.

The spelling of 56590513 in words is "fifty-six million, five hundred ninety thousand, five hundred thirteen".

Divisors: 1 7 29 113 203 791 2467 3277 17269 22939 71543 278771 500801 1951397 8084359 56590513