Search a number
-
+
5628385 = 57222973
BaseRepresentation
bin10101011110000111100001
3101120221200201
4111132013201
52420102020
6320345201
765561200
oct25360741
911527621
105628385
1131a4764
121a75201
131220b09
14a67237
15762a0a
hex55e1e1

5628385 has 12 divisors (see below), whose sum is σ = 7857108. Its totient is φ = 3859296.

The previous prime is 5628379. The next prime is 5628397. The reversal of 5628385 is 5838265.

5628385 is digitally balanced in base 3 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2614689 + 3013696 = 1617^2 + 1736^2 .

It is not a de Polignac number, because 5628385 - 27 = 5628257 is a prime.

5628385 is strictly pandigital in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11242 + ... + 11731.

It is an arithmetic number, because the mean of its divisors is an integer number (654759).

Almost surely, 25628385 is an apocalyptic number.

It is an amenable number.

5628385 is a deficient number, since it is larger than the sum of its proper divisors (2228723).

5628385 is a wasteful number, since it uses less digits than its factorization.

5628385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22992 (or 22985 counting only the distinct ones).

The product of its digits is 57600, while the sum is 37.

The square root of 5628385 is about 2372.4217584570. The cubic root of 5628385 is about 177.8803323934.

It can be divided in two parts, 56 and 28385, that added together give a triangular number (28441 = T238).

The spelling of 5628385 in words is "five million, six hundred twenty-eight thousand, three hundred eighty-five".

Divisors: 1 5 7 35 49 245 22973 114865 160811 804055 1125677 5628385