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826925 = 52113197
BaseRepresentation
bin11001001111000101101
31120000022212
43021320231
5202430200
625420205
710012601
oct3117055
91500285
10826925
11515310
1233a665
1322c508
14177501
15115035
hexc9e2d

826925 has 24 divisors (see below), whose sum is σ = 1166592. Its totient is φ = 576000.

The previous prime is 826921. The next prime is 826927. The reversal of 826925 is 529628.

It is not a de Polignac number, because 826925 - 22 = 826921 is a prime.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

Its product of digits (8640) is a multiple of the sum of its prime divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 826891 and 826900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (826921) 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 23 ways as a sum of consecutive naturals, for example, 8477 + ... + 8573.

It is an arithmetic number, because the mean of its divisors is an integer number (48608).

2826925 is an apocalyptic number.

It is an amenable number.

826925 is a deficient number, since it is larger than the sum of its proper divisors (339667).

826925 is a wasteful number, since it uses less digits than its factorization.

826925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 144 counting only the distinct ones).

The product of its digits is 8640, while the sum is 32.

The square root of 826925 is about 909.3541664280. The cubic root of 826925 is about 93.8617630063.

It can be divided in two parts, 82 and 6925, that added together give a palindrome (7007).

The spelling of 826925 in words is "eight hundred twenty-six thousand, nine hundred twenty-five".

Divisors: 1 5 11 25 31 55 97 155 275 341 485 775 1067 1705 2425 3007 5335 8525 15035 26675 33077 75175 165385 826925