Search a number
-
+
5682564 = 2232236863
BaseRepresentation
bin10101101011010110000100
3101200201000100
4111223112010
52423320224
6321444100
766205146
oct25532604
911621010
105682564
113231438
121aa0630
13123c684
14a7cc96
15773ac9
hex56b584

5682564 has 36 divisors (see below), whose sum is σ = 14990976. Its totient is φ = 1811568.

The previous prime is 5682553. The next prime is 5682569. The reversal of 5682564 is 4652865.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×56825642 = 64583067228192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5682569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2604 + ... + 4259.

It is an arithmetic number, because the mean of its divisors is an integer number (416416).

Almost surely, 25682564 is an apocalyptic number.

It is an amenable number.

5682564 is an abundant number, since it is smaller than the sum of its proper divisors (9308412).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5682564 is a wasteful number, since it uses less digits than its factorization.

5682564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6896 (or 6891 counting only the distinct ones).

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

The square root of 5682564 is about 2383.8129121221. The cubic root of 5682564 is about 178.4492711811.

The spelling of 5682564 in words is "five million, six hundred eighty-two thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 6863 13726 20589 27452 41178 61767 82356 123534 157849 247068 315698 473547 631396 947094 1420641 1894188 2841282 5682564