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27823325 = 522938377
BaseRepresentation
bin110101000100…
…0110011011101
31221100120102112
41222020303131
524110321300
62432203405
7455331365
oct152106335
957316375
1027823325
1114784092
129399565
1359c230a
1439a39a5
152698e35
hex1a88cdd

27823325 has 12 divisors (see below), whose sum is σ = 35691540. Its totient is φ = 21490560.

The previous prime is 27823319. The next prime is 27823333. The reversal of 27823325 is 52332872.

It can be written as a sum of positive squares in 6 ways, for example, as 6497401 + 21325924 = 2549^2 + 4618^2 .

It is not a de Polignac number, because 27823325 - 212 = 27819229 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 27823291 and 27823300.

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 11 ways as a sum of consecutive naturals, for example, 18464 + ... + 19913.

It is an arithmetic number, because the mean of its divisors is an integer number (2974295).

Almost surely, 227823325 is an apocalyptic number.

27823325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

27823325 is a deficient number, since it is larger than the sum of its proper divisors (7868215).

27823325 is a wasteful number, since it uses less digits than its factorization.

27823325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38416 (or 38411 counting only the distinct ones).

The product of its digits is 20160, while the sum is 32.

The square root of 27823325 is about 5274.7819860161. The cubic root of 27823325 is about 303.0188713390.

The spelling of 27823325 in words is "twenty-seven million, eight hundred twenty-three thousand, three hundred twenty-five".

Divisors: 1 5 25 29 145 725 38377 191885 959425 1112933 5564665 27823325