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12254949 = 337259157
BaseRepresentation
bin101110101111…
…111011100101
3212001121122000
4232233323211
511114124244
61114355513
7206110500
oct56577345
925047560
1012254949
116a10363
12412bb99
132701065
1418b0137
151121169
hexbafee5

12254949 has 48 divisors (see below), whose sum is σ = 21614400. Its totient is φ = 6840288.

The previous prime is 12254947. The next prime is 12254969. The reversal of 12254949 is 94945221.

12254949 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 12254949 - 21 = 12254947 is a prime.

12254949 is a modest number, since divided by 4949 gives 1225 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12254947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77979 + ... + 78135.

It is an arithmetic number, because the mean of its divisors is an integer number (450300).

Almost surely, 212254949 is an apocalyptic number.

It is an amenable number.

12254949 is a deficient number, since it is larger than the sum of its proper divisors (9359451).

12254949 is a wasteful number, since it uses less digits than its factorization.

12254949 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 226 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 12254949 is about 3500.7069286074. The cubic root of 12254949 is about 230.5528540277.

It can be divided in two parts, 12254 and 949, that added together give a triangular number (13203 = T162).

The spelling of 12254949 in words is "twelve million, two hundred fifty-four thousand, nine hundred forty-nine".

Divisors: 1 3 7 9 21 27 49 59 63 147 157 177 189 413 441 471 531 1099 1239 1323 1413 1593 2891 3297 3717 4239 7693 8673 9263 9891 11151 23079 26019 27789 29673 64841 69237 78057 83367 194523 207711 250101 453887 583569 1361661 1750707 4084983 12254949