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12642426 = 2331032273
BaseRepresentation
bin110000001110…
…100001111010
3212210022011000
4300032201322
511214024201
61130545430
7212313246
oct60164172
925708130
1012642426
117155495
124298276
132808534
141971426
15119ad86
hexc0e87a

12642426 has 32 divisors (see below), whose sum is σ = 28379520. Its totient is φ = 4171392.

The previous prime is 12642397. The next prime is 12642437. The reversal of 12642426 is 62424621.

12642426 is a `hidden beast` number, since 12 + 642 + 4 + 2 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 12642426.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4426 + ... + 6698.

It is an arithmetic number, because the mean of its divisors is an integer number (886860).

Almost surely, 212642426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12642426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14189760).

12642426 is an abundant number, since it is smaller than the sum of its proper divisors (15737094).

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

12642426 is a wasteful number, since it uses less digits than its factorization.

12642426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2387 (or 2381 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 12642426 is about 3555.6189334629. The cubic root of 12642426 is about 232.9575588732.

The spelling of 12642426 in words is "twelve million, six hundred forty-two thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 54 103 206 309 618 927 1854 2273 2781 4546 5562 6819 13638 20457 40914 61371 122742 234119 468238 702357 1404714 2107071 4214142 6321213 12642426