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13812528 = 243833467
BaseRepresentation
bin110100101100…
…001100110000
3221222202020010
4310230030300
512014000103
61212014520
7225255522
oct64541460
927882203
1013812528
117884614
124761440
132b27cc2
141b97a12
15132c903
hexd2c330

13812528 has 40 divisors (see below), whose sum is σ = 36122688. Its totient is φ = 4547392.

The previous prime is 13812521. The next prime is 13812571. The reversal of 13812528 is 82521831.

It is a junction number, because it is equal to n+sod(n) for n = 13812495 and 13812504.

It is not an unprimeable number, because it can be changed into a prime (13812521) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2251 + ... + 5717.

Almost surely, 213812528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13812528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18061344).

13812528 is an abundant number, since it is smaller than the sum of its proper divisors (22310160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13812528 is a wasteful number, since it uses less digits than its factorization.

13812528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3561 (or 3555 counting only the distinct ones).

The product of its digits is 3840, while the sum is 30.

The square root of 13812528 is about 3716.5209537954. The cubic root of 13812528 is about 239.9335927381.

The spelling of 13812528 in words is "thirteen million, eight hundred twelve thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 83 166 249 332 498 664 996 1328 1992 3467 3984 6934 10401 13868 20802 27736 41604 55472 83208 166416 287761 575522 863283 1151044 1726566 2302088 3453132 4604176 6906264 13812528