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5286825 = 325223497
BaseRepresentation
bin10100001010101110101001
3100221121011100
4110022232221
52323134300
6305152013
762636325
oct24125651
910847140
105286825
112a91085
12192b609
1311314cb
149b8985
156e6700
hex50aba9

5286825 has 18 divisors (see below), whose sum is σ = 9469694. Its totient is φ = 2819520.

The previous prime is 5286823. The next prime is 5286839.

5286825 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 3 ways, for example, as 826281 + 4460544 = 909^2 + 2112^2 .

It is not a de Polignac number, because 5286825 - 21 = 5286823 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 5286825.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5286823) 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 17 ways as a sum of consecutive naturals, for example, 11524 + ... + 11973.

Almost surely, 25286825 is an apocalyptic number.

It is an amenable number.

5286825 is a deficient number, since it is larger than the sum of its proper divisors (4182869).

5286825 is a wasteful number, since it uses less digits than its factorization.

5286825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23513 (or 23505 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 5286825 is about 2299.3096790124. The cubic root of 5286825 is about 174.2067498789.

Subtracting from 5286825 its product of digits (38400), we obtain a palindrome (5248425).

The spelling of 5286825 in words is "five million, two hundred eighty-six thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 23497 70491 117485 211473 352455 587425 1057365 1762275 5286825