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12441688 = 2372171867
BaseRepresentation
bin101111011101…
…100001011000
3212102002210021
4233131201120
511141113223
61122400224
7210516100
oct57354130
925362707
1012441688
117028696
124200074
13276805c
14191c200
15115b65d
hexbdd858

12441688 has 48 divisors (see below), whose sum is σ = 28748520. Its totient is φ = 5015808.

The previous prime is 12441673. The next prime is 12441701. The reversal of 12441688 is 88614421.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5731 + ... + 7597.

Almost surely, 212441688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12441688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14374260).

12441688 is an abundant number, since it is smaller than the sum of its proper divisors (16306832).

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

12441688 is a wasteful number, since it uses less digits than its factorization.

12441688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1904 (or 1893 counting only the distinct ones).

The product of its digits is 12288, while the sum is 34.

The square root of 12441688 is about 3527.2777038390. The cubic root of 12441688 is about 231.7179986201.

The spelling of 12441688 in words is "twelve million, four hundred forty-one thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 14 17 28 34 49 56 68 98 119 136 196 238 392 476 833 952 1666 1867 3332 3734 6664 7468 13069 14936 26138 31739 52276 63478 91483 104552 126956 182966 222173 253912 365932 444346 731864 888692 1555211 1777384 3110422 6220844 12441688