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12808845 = 3257237157
BaseRepresentation
bin110000110111…
…001010001101
3220002202102200
4300313022031
511234340340
61134312113
7213605400
oct60671215
926082380
1012808845
117259525
124358639
1328661ca
1419b5d37
1511d0330
hexc3728d

12808845 has 72 divisors (see below), whose sum is σ = 26693784. Its totient is φ = 5660928.

The previous prime is 12808843. The next prime is 12808847. The reversal of 12808845 is 54880821.

12808845 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12808843) and next prime (12808847).

It can be written as a sum of positive squares in 4 ways, for example, as 2350089 + 10458756 = 1533^2 + 3234^2 .

It is not a de Polignac number, because 12808845 - 21 = 12808843 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12808843) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 81507 + ... + 81663.

It is an arithmetic number, because the mean of its divisors is an integer number (370747).

Almost surely, 212808845 is an apocalyptic number.

12808845 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12808845 is an abundant number, since it is smaller than the sum of its proper divisors (13884939).

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

12808845 is a wasteful number, since it uses less digits than its factorization.

12808845 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 12808845 is about 3578.9446768566. The cubic root of 12808845 is about 233.9752877694.

The spelling of 12808845 in words is "twelve million, eight hundred eight thousand, eight hundred forty-five".

Divisors: 1 3 5 7 9 15 21 35 37 45 49 63 105 111 147 157 185 245 259 315 333 441 471 555 735 777 785 1099 1295 1413 1665 1813 2205 2331 2355 3297 3885 5439 5495 5809 7065 7693 9065 9891 11655 16317 16485 17427 23079 27195 29045 38465 40663 49455 52281 69237 81585 87135 115395 121989 203315 261405 284641 346185 365967 609945 853923 1423205 1829835 2561769 4269615 12808845