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12289428 = 22331953113
BaseRepresentation
bin101110111000…
…010110010100
3212010100221000
4232320112110
511121230203
61115223300
7206313144
oct56702624
925110830
1012289428
116a34258
124147b30
132713968
1418bc924
15112b4a3
hexbb8594

12289428 has 96 divisors (see below), whose sum is σ = 34473600. Its totient is φ = 3773952.

The previous prime is 12289427. The next prime is 12289441. The reversal of 12289428 is 82498221.

12289428 is a `hidden beast` number, since 1 + 228 + 9 + 428 = 666.

12289428 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12289392 and 12289401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12289427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108700 + ... + 108812.

It is an arithmetic number, because the mean of its divisors is an integer number (359100).

Almost surely, 212289428 is an apocalyptic number.

12289428 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12289428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17236800).

12289428 is an abundant number, since it is smaller than the sum of its proper divisors (22184172).

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

12289428 is a wasteful number, since it uses less digits than its factorization.

12289428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 190 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 12289428 is about 3505.6280464419. The cubic root of 12289428 is about 230.7688698456.

The spelling of 12289428 in words is "twelve million, two hundred eighty-nine thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 53 54 57 76 106 108 113 114 159 171 212 226 228 318 339 342 452 477 513 636 678 684 954 1007 1017 1026 1356 1431 1908 2014 2034 2052 2147 2862 3021 3051 4028 4068 4294 5724 5989 6042 6102 6441 8588 9063 11978 12084 12204 12882 17967 18126 19323 23956 25764 27189 35934 36252 38646 53901 54378 57969 71868 77292 107802 108756 113791 115938 161703 215604 227582 231876 323406 341373 455164 646812 682746 1024119 1365492 2048238 3072357 4096476 6144714 12289428