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12825395 = 5112172943
BaseRepresentation
bin110000111011…
…001100110011
3220010121010122
4300323030303
511240403040
61134520455
7214004552
oct60731463
926117118
1012825395
11726aa00
12436612b
1328708bb
1419bbd99
1511d51b5
hexc3b333

12825395 has 48 divisors (see below), whose sum is σ = 18960480. Its totient is φ = 8279040.

The previous prime is 12825359. The next prime is 12825403. The reversal of 12825395 is 59352821.

12825395 = 7532 + 7542 + ... + 7742.

12825395 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 12825395 - 26 = 12825331 is a prime.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

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 47 ways as a sum of consecutive naturals, for example, 298244 + ... + 298286.

It is an arithmetic number, because the mean of its divisors is an integer number (395010).

Almost surely, 212825395 is an apocalyptic number.

12825395 is a deficient number, since it is larger than the sum of its proper divisors (6135085).

12825395 is a wasteful number, since it uses less digits than its factorization.

12825395 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 105 counting only the distinct ones).

The product of its digits is 21600, while the sum is 35.

The square root of 12825395 is about 3581.2560645673. The cubic root of 12825395 is about 234.0760156764.

The spelling of 12825395 in words is "twelve million, eight hundred twenty-five thousand, three hundred ninety-five".

Divisors: 1 5 11 17 29 43 55 85 121 145 187 215 319 473 493 605 731 935 1247 1595 2057 2365 2465 3509 3655 5203 5423 6235 8041 10285 13717 17545 21199 26015 27115 40205 59653 68585 88451 105995 150887 233189 298265 442255 754435 1165945 2565079 12825395