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5252823 = 33257757
BaseRepresentation
bin10100000010011011010111
3100212212112000
4110002123113
52321042243
6304330343
762435232
oct24023327
910785460
105252823
112a68584
1219139b3
13111bba4
149aa419
156db5d3
hex5026d7

5252823 has 16 divisors (see below), whose sum is σ = 7822560. Its totient is φ = 3483648.

The previous prime is 5252803. The next prime is 5252831. The reversal of 5252823 is 3282525.

5252823 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 5252823 - 25 = 5252791 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a d-powerful number, because it can be written as 57 + 23 + 58 + 26 + 8 + 210 + 314 .

5252823 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5252803) 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 15 ways as a sum of consecutive naturals, for example, 6561 + ... + 7317.

It is an arithmetic number, because the mean of its divisors is an integer number (488910).

Almost surely, 25252823 is an apocalyptic number.

5252823 is a deficient number, since it is larger than the sum of its proper divisors (2569737).

5252823 is a wasteful number, since it uses less digits than its factorization.

5252823 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 1017 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 5252823 is about 2291.9037937924. The cubic root of 5252823 is about 173.8324784821.

The spelling of 5252823 in words is "five million, two hundred fifty-two thousand, eight hundred twenty-three".

Divisors: 1 3 9 27 257 757 771 2271 2313 6813 6939 20439 194549 583647 1750941 5252823