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12626442 = 234411901
BaseRepresentation
bin110000001010…
…101000001010
3212202111020000
4300022220022
511213021232
61130343430
7212215533
oct60125012
925674200
1012626442
117144484
12428ab76
13280118a
14196968a
15119627c
hexc0aa0a

12626442 has 40 divisors (see below), whose sum is σ = 28997892. Its totient is φ = 4104000.

The previous prime is 12626417. The next prime is 12626479. The reversal of 12626442 is 24462621.

12626442 is a `hidden beast` number, since 12 + 6 + 2 + 644 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9418761 + 3207681 = 3069^2 + 1791^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5692 + ... + 7592.

Almost surely, 212626442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12626442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14498946).

12626442 is an abundant number, since it is smaller than the sum of its proper divisors (16371450).

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

12626442 is a wasteful number, since it uses less digits than its factorization.

12626442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1956 (or 1947 counting only the distinct ones).

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

The square root of 12626442 is about 3553.3705126260. The cubic root of 12626442 is about 232.8593402774.

The spelling of 12626442 in words is "twelve million, six hundred twenty-six thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 41 54 81 82 123 162 246 369 738 1107 1901 2214 3321 3802 5703 6642 11406 17109 34218 51327 77941 102654 153981 155882 233823 307962 467646 701469 1402938 2104407 4208814 6313221 12626442