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5305806 = 23211127211
BaseRepresentation
bin10100001111010111001110
3100222120012100
4110033113032
52324241211
6305415530
763045552
oct24172716
910876170
105305806
112aa4370
12193a5a6
13113a03c
149c1862
156ec156
hex50f5ce

5305806 has 48 divisors (see below), whose sum is σ = 12699648. Its totient is φ = 1587600.

The previous prime is 5305799. The next prime is 5305823. The reversal of 5305806 is 6085035.

It is a self number, because there is not a number n which added to its sum of digits gives 5305806.

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 23 ways as a sum of consecutive naturals, for example, 25041 + ... + 25251.

It is an arithmetic number, because the mean of its divisors is an integer number (264576).

Almost surely, 25305806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5305806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6349824).

5305806 is an abundant number, since it is smaller than the sum of its proper divisors (7393842).

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

5305806 is a wasteful number, since it uses less digits than its factorization.

5305806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 5305806 is about 2303.4335241113. The cubic root of 5305806 is about 174.4149825456.

It can be divided in two parts, 530 and 5806, that added together give a palindrome (6336).

The spelling of 5305806 in words is "five million, three hundred five thousand, eight hundred six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 127 198 211 254 381 422 633 762 1143 1266 1397 1899 2286 2321 2794 3798 4191 4642 6963 8382 12573 13926 20889 25146 26797 41778 53594 80391 160782 241173 294767 482346 589534 884301 1768602 2652903 5305806