Search a number
-
+
5628645 = 3251183137
BaseRepresentation
bin10101011110001011100101
3101120222001100
4111132023211
52420104040
6320350313
765562021
oct25361345
911528040
105628645
1131a4980
121a75399
131220c79
14a67381
15762b30
hex55e2e5

5628645 has 48 divisors (see below), whose sum is σ = 10850112. Its totient is φ = 2676480.

The previous prime is 5628631. The next prime is 5628647. The reversal of 5628645 is 5468265.

5628645 = T326 + T327 + ... + T408.

5628645 is a `hidden beast` number, since 5 + 6 + 2 + 8 + 645 = 666.

It is not a de Polignac number, because 5628645 - 25 = 5628613 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5628647) 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 47 ways as a sum of consecutive naturals, for example, 41017 + ... + 41153.

It is an arithmetic number, because the mean of its divisors is an integer number (226044).

Almost surely, 25628645 is an apocalyptic number.

5628645 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5628645 is a deficient number, since it is larger than the sum of its proper divisors (5221467).

5628645 is a wasteful number, since it uses less digits than its factorization.

5628645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 239 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 5628645 is about 2372.4765541518. The cubic root of 5628645 is about 177.8830713777.

The spelling of 5628645 in words is "five million, six hundred twenty-eight thousand, six hundred forty-five".

Divisors: 1 3 5 9 11 15 33 45 55 83 99 137 165 249 411 415 495 685 747 913 1233 1245 1507 2055 2739 3735 4521 4565 6165 7535 8217 11371 13563 13695 22605 34113 41085 56855 67815 102339 125081 170565 375243 511695 625405 1125729 1876215 5628645