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13426192 = 2413173797
BaseRepresentation
bin110011001101…
…111000010000
3221021010021101
4303031320100
511414114232
61155434144
7222056263
oct63157020
927233241
1013426192
11764032a
1245b5954
132a211c0
141ad6cda
1512a31e7
hexccde10

13426192 has 40 divisors (see below), whose sum is σ = 29669976. Its totient is φ = 5830656.

The previous prime is 13426187. The next prime is 13426199. The reversal of 13426192 is 29162431.

It can be written as a sum of positive squares in 4 ways, for example, as 1296 + 13424896 = 36^2 + 3664^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13426192.

It is not an unprimeable number, because it can be changed into a prime (13426199) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1638 + ... + 5434.

Almost surely, 213426192 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 13426192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14834988).

13426192 is an abundant number, since it is smaller than the sum of its proper divisors (16243784).

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

13426192 is a wasteful number, since it uses less digits than its factorization.

13426192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3835 (or 3829 counting only the distinct ones).

The product of its digits is 2592, while the sum is 28.

The square root of 13426192 is about 3664.1768516271. The cubic root of 13426192 is about 237.6754279147.

The spelling of 13426192 in words is "thirteen million, four hundred twenty-six thousand, one hundred ninety-two".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 272 442 884 1768 3536 3797 7594 15188 30376 49361 60752 64549 98722 129098 197444 258196 394888 516392 789776 839137 1032784 1678274 3356548 6713096 13426192