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13828045 = 57311733
BaseRepresentation
bin110100101111…
…111111001101
3222000112111211
4310233333031
512014444140
61212214421
7225352000
oct64577715
928015454
1013828045
117895240
12476a411
132b3209a
141b9d537
1513322ea
hexd2ffcd

13828045 has 32 divisors (see below), whose sum is σ = 21139200. Its totient is φ = 8608320.

The previous prime is 13828043. The next prime is 13828057. The reversal of 13828045 is 54082831.

It is not a de Polignac number, because 13828045 - 21 = 13828043 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13827998 and 13828016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13828043) 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 31 ways as a sum of consecutive naturals, for example, 18499 + ... + 19231.

It is an arithmetic number, because the mean of its divisors is an integer number (660600).

Almost surely, 213828045 is an apocalyptic number.

It is an amenable number.

13828045 is a deficient number, since it is larger than the sum of its proper divisors (7311155).

13828045 is an equidigital number, since it uses as much as digits as its factorization.

13828045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 13828045 is about 3718.6079384630. The cubic root of 13828045 is about 240.0234062820.

The spelling of 13828045 in words is "thirteen million, eight hundred twenty-eight thousand, forty-five".

Divisors: 1 5 7 11 35 49 55 77 245 343 385 539 733 1715 2695 3665 3773 5131 8063 18865 25655 35917 40315 56441 179585 251419 282205 395087 1257095 1975435 2765609 13828045