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12417642 = 232689869
BaseRepresentation
bin101111010111…
…101001101010
3212100212210200
4233113221222
511134331032
61122053030
7210356016
oct57275152
925325720
1012417642
117011616
1241aa176
13275a123
141913546
15115447c
hexbd7a6a

12417642 has 12 divisors (see below), whose sum is σ = 26904930. Its totient is φ = 4139208.

The previous prime is 12417641. The next prime is 12417653. The reversal of 12417642 is 24671421.

12417642 is a `hidden beast` number, since 1 + 2 + 4 + 17 + 642 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8696601 + 3721041 = 2949^2 + 1929^2 .

It is not an unprimeable number, because it can be changed into a prime (12417641) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 344917 + ... + 344952.

Almost surely, 212417642 is an apocalyptic number.

12417642 is an abundant number, since it is smaller than the sum of its proper divisors (14487288).

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

12417642 is a wasteful number, since it uses less digits than its factorization.

12417642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689877 (or 689874 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 12417642 is about 3523.8674776444. The cubic root of 12417642 is about 231.5686221999.

It can be divided in two parts, 124 and 17642, that added together give a triangular number (17766 = T188).

The spelling of 12417642 in words is "twelve million, four hundred seventeen thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 689869 1379738 2069607 4139214 6208821 12417642