Search a number
-
+
56328625 = 53736173
BaseRepresentation
bin1101011011100…
…0000110110001
310220222210100101
43112320012301
5103410004000
65331152401
71252533253
oct326700661
9126883311
1056328625
1129883591
1216a45701
13b892b62
1476a3cd3
154e29e6a
hex35b81b1

56328625 has 16 divisors (see below), whose sum is σ = 71272656. Its totient is φ = 44438400.

The previous prime is 56328619. The next prime is 56328637. The reversal of 56328625 is 52682365.

It is a happy number.

56328625 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 8 ways, for example, as 35617024 + 20711601 = 5968^2 + 4551^2 .

It is not a de Polignac number, because 56328625 - 25 = 56328593 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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, 6039 + ... + 12211.

It is an arithmetic number, because the mean of its divisors is an integer number (4454541).

Almost surely, 256328625 is an apocalyptic number.

It is an amenable number.

56328625 is a deficient number, since it is larger than the sum of its proper divisors (14944031).

56328625 is an equidigital number, since it uses as much as digits as its factorization.

56328625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6261 (or 6251 counting only the distinct ones).

The product of its digits is 86400, while the sum is 37.

The square root of 56328625 is about 7505.2398362744. The cubic root of 56328625 is about 383.3331547993. Note that the first 3 decimals are identical.

It can be divided in two parts, 56328 and 625, that added together give a triangular number (56953 = T337).

The spelling of 56328625 in words is "fifty-six million, three hundred twenty-eight thousand, six hundred twenty-five".

Divisors: 1 5 25 73 125 365 1825 6173 9125 30865 154325 450629 771625 2253145 11265725 56328625