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26944344 = 23327193277
BaseRepresentation
bin110011011001…
…0001101011000
31212200220200200
41212302031120
523344204334
62401302200
7445010640
oct146621530
955626620
1026944344
1114233759
129034960
1357751cb
143815520
152573799
hex19b2358

26944344 has 96 divisors (see below), whose sum is σ = 84133920. Its totient is φ = 7630848.

The previous prime is 26944327. The next prime is 26944349. The reversal of 26944344 is 44344962.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 26944299 and 26944308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26944349) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97134 + ... + 97410.

It is an arithmetic number, because the mean of its divisors is an integer number (876395).

Almost surely, 226944344 is an apocalyptic number.

26944344 is a gapful number since it is divisible by the number (24) 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 26944344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42066960).

26944344 is an abundant number, since it is smaller than the sum of its proper divisors (57189576).

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

26944344 is a wasteful number, since it uses less digits than its factorization.

26944344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 482 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 26944344 is about 5190.7941588932. The cubic root of 26944344 is about 299.7937248677.

The spelling of 26944344 in words is "twenty-six million, nine hundred forty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 193 252 277 386 504 554 579 772 831 1108 1158 1351 1544 1662 1737 1939 2216 2316 2493 2702 3324 3474 3878 4053 4632 4986 5404 5817 6648 6948 7756 8106 9972 10808 11634 12159 13896 15512 16212 17451 19944 23268 24318 32424 34902 46536 48636 53461 69804 97272 106922 139608 160383 213844 320766 374227 427688 481149 641532 748454 962298 1122681 1283064 1496908 1924596 2245362 2993816 3368043 3849192 4490724 6736086 8981448 13472172 26944344