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12884725 = 527176171
BaseRepresentation
bin110001001001…
…101011110101
3220020121112001
4301021223311
511244302400
61140055301
7214342540
oct61115365
926217461
1012884725
117300537
124394531
1328918c9
1419d5857
1511e7a6a
hexc49af5

12884725 has 48 divisors (see below), whose sum is σ = 19927296. Its totient is φ = 8064000.

The previous prime is 12884699. The next prime is 12884737. The reversal of 12884725 is 52748821.

12884725 = T1 + T2 + ... + T425.

12884725 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

12884725 is a nontrivial binomial coefficient, being equal to C(427, 3).

It is not a de Polignac number, because 12884725 - 211 = 12882677 is a prime.

It is a super-2 number, since 2×128847252 = 332032276651250, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is the 425-th tetrahedral 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, 181440 + ... + 181510.

It is an arithmetic number, because the mean of its divisors is an integer number (415152).

Almost surely, 212884725 is an apocalyptic number.

It is an amenable number.

12884725 is a deficient number, since it is larger than the sum of its proper divisors (7042571).

12884725 is a wasteful number, since it uses less digits than its factorization.

12884725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 161 counting only the distinct ones).

The product of its digits is 35840, while the sum is 37.

The square root of 12884725 is about 3589.5299135124. The cubic root of 12884725 is about 234.4364040595.

The spelling of 12884725 in words is "twelve million, eight hundred eighty-four thousand, seven hundred twenty-five".

Divisors: 1 5 7 17 25 35 61 71 85 119 175 305 355 425 427 497 595 1037 1207 1525 1775 2135 2485 2975 4331 5185 6035 7259 8449 10675 12425 21655 25925 30175 30317 36295 42245 73627 108275 151585 181475 211225 368135 515389 757925 1840675 2576945 12884725