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13882149 = 3217412213
BaseRepresentation
bin110100111101…
…001100100101
3222010021201200
4310331030211
512023212044
61213313113
7225665511
oct64751445
928107650
1013882149
117921956
124795799
132b508b8
141bb5141
151343369
hexd3d325

13882149 has 24 divisors (see below), whose sum is σ = 21759192. Its totient is φ = 8494080.

The previous prime is 13882139. The next prime is 13882151. The reversal of 13882149 is 94128831.

It can be written as a sum of positive squares in 4 ways, for example, as 4536900 + 9345249 = 2130^2 + 3057^2 .

It is not a de Polignac number, because 13882149 - 27 = 13882021 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13882109) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 5167 + ... + 7379.

It is an arithmetic number, because the mean of its divisors is an integer number (906633).

Almost surely, 213882149 is an apocalyptic number.

It is an amenable number.

13882149 is a deficient number, since it is larger than the sum of its proper divisors (7877043).

13882149 is a wasteful number, since it uses less digits than its factorization.

13882149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2277 (or 2274 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 13882149 is about 3725.8756017881. The cubic root of 13882149 is about 240.3360396859.

The spelling of 13882149 in words is "thirteen million, eight hundred eighty-two thousand, one hundred forty-nine".

Divisors: 1 3 9 17 41 51 123 153 369 697 2091 2213 6273 6639 19917 37621 90733 112863 272199 338589 816597 1542461 4627383 13882149