Search a number
-
+
56782529 is a prime number
BaseRepresentation
bin1101100010011…
…0111011000001
310221211211222122
43120212323001
5104014020104
65345014025
71256433506
oct330467301
9127754878
1056782529
112a063611
1217024315
13b9c163b
1477814ad
154eb96be
hex3626ec1

56782529 has 2 divisors, whose sum is σ = 56782530. Its totient is φ = 56782528.

The previous prime is 56782511. The next prime is 56782547. The reversal of 56782529 is 92528765.

56782529 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (56782511) and next prime (56782547).

It can be written as a sum of positive squares in only one way, i.e., 53684929 + 3097600 = 7327^2 + 1760^2 .

It is a cyclic number.

It is not a de Polignac number, because 56782529 - 28 = 56782273 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 56782529.

It is not a weakly prime, because it can be changed into another prime (56782549) 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 as a sum of consecutive naturals, namely, 28391264 + 28391265.

It is an arithmetic number, because the mean of its divisors is an integer number (28391265).

Almost surely, 256782529 is an apocalyptic number.

It is an amenable number.

56782529 is a deficient number, since it is larger than the sum of its proper divisors (1).

56782529 is an equidigital number, since it uses as much as digits as its factorization.

56782529 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 302400, while the sum is 44.

The square root of 56782529 is about 7535.4183029212. The cubic root of 56782529 is about 384.3600522885.

The spelling of 56782529 in words is "fifty-six million, seven hundred eighty-two thousand, five hundred twenty-nine".