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26065728 = 263213592
BaseRepresentation
bin110001101101…
…1101101000000
31211001021110100
41203123231000
523133100403
62330402400
7434361243
oct143335500
954037410
1026065728
1113793627
128890400
135528310
14366725a
15244d2a3
hex18dbb40

26065728 has 126 divisors (see below), whose sum is σ = 81846674. Its totient is φ = 7884288.

The previous prime is 26065687. The next prime is 26065759. The reversal of 26065728 is 82756062.

It can be written as a sum of positive squares in only one way, i.e., 18045504 + 8020224 = 4248^2 + 2832^2 .

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 = 26065692 and 26065701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 441763 + ... + 441821.

Almost surely, 226065728 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 26065728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40923337).

26065728 is an abundant number, since it is smaller than the sum of its proper divisors (55780946).

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

26065728 is a wasteful number, since it uses less digits than its factorization.

26065728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 26065728 is about 5105.4606060570. The cubic root of 26065728 is about 296.4990364414.

The spelling of 26065728 in words is "twenty-six million, sixty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 59 64 72 78 96 104 117 118 144 156 177 192 208 234 236 288 312 354 416 468 472 531 576 624 708 767 832 936 944 1062 1248 1416 1534 1872 1888 2124 2301 2496 2832 3068 3481 3744 3776 4248 4602 5664 6136 6903 6962 7488 8496 9204 10443 11328 12272 13806 13924 16992 18408 20886 24544 27612 27848 31329 33984 36816 41772 45253 49088 55224 55696 62658 73632 83544 90506 110448 111392 125316 135759 147264 167088 181012 220896 222784 250632 271518 334176 362024 407277 441792 501264 543036 668352 724048 814554 1002528 1086072 1448096 1629108 2005056 2172144 2896192 3258216 4344288 6516432 8688576 13032864 26065728