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26564034 = 23723107257
BaseRepresentation
bin110010101010…
…1010111000010
31211222121000010
41211111113002
523300022114
62345205350
7441535110
oct145252702
954877003
1026564034
1113aa3a52
128a90856
135671083
143756ab0
1524eac59
hex19555c2

26564034 has 64 divisors (see below), whose sum is σ = 64198656. Its totient is φ = 7163904.

The previous prime is 26564017. The next prime is 26564053. The reversal of 26564034 is 43046562.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 26563992 and 26564010.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103234 + ... + 103490.

It is an arithmetic number, because the mean of its divisors is an integer number (1003104).

Almost surely, 226564034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26564034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32099328).

26564034 is an abundant number, since it is smaller than the sum of its proper divisors (37634622).

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

26564034 is a wasteful number, since it uses less digits than its factorization.

26564034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399.

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 26564034 is about 5154.0308497331. The cubic root of 26564034 is about 298.3765415676.

The spelling of 26564034 in words is "twenty-six million, five hundred sixty-four thousand, thirty-four".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 107 138 161 214 257 321 322 483 514 642 749 771 966 1498 1542 1799 2247 2461 3598 4494 4922 5397 5911 7383 10794 11822 14766 17227 17733 27499 34454 35466 41377 51681 54998 82497 82754 103362 124131 164994 192493 248262 384986 577479 632477 1154958 1264954 1897431 3794862 4427339 8854678 13282017 26564034