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852369 = 37371097
BaseRepresentation
bin11010000000110010001
31121022020020
43100012101
5204233434
630134053
710150020
oct3200621
91538206
10852369
11532441
12351329
1323ac7b
141828b7
1511c849
hexd0191

852369 has 16 divisors (see below), whose sum is σ = 1335168. Its totient is φ = 473472.

The previous prime is 852367. The next prime is 852391. The reversal of 852369 is 963258.

It is a happy number.

It is not a de Polignac number, because 852369 - 21 = 852367 is a prime.

It is a super-2 number, since 2×8523692 = 1453065824322, which contains 22 as substring.

It is a d-powerful number, because it can be written as 85 + 5 + 33 + 213 + 67 + 96 .

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (852367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 229 + ... + 1325.

It is an arithmetic number, because the mean of its divisors is an integer number (83448).

2852369 is an apocalyptic number.

It is an amenable number.

852369 is a deficient number, since it is larger than the sum of its proper divisors (482799).

852369 is a wasteful number, since it uses less digits than its factorization.

852369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144.

The product of its digits is 12960, while the sum is 33.

The square root of 852369 is about 923.2383224282. The cubic root of 852369 is about 94.8147451650.

Subtracting 852369 from its reverse (963258), we obtain a square (110889 = 3332).

It can be divided in two parts, 852 and 369, that added together give a palindrome (1221).

The spelling of 852369 in words is "eight hundred fifty-two thousand, three hundred sixty-nine".

Divisors: 1 3 7 21 37 111 259 777 1097 3291 7679 23037 40589 121767 284123 852369