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26051072 = 29174173
BaseRepresentation
bin110001101100…
…0001000000000
31211000112100112
41203120020000
523132113242
62330210452
7434300435
oct143301000
954015315
1026051072
1113783613
128883a28
135521748
143661b8c
152448c82
hex18d8200

26051072 has 80 divisors (see below), whose sum is σ = 57230712. Its totient is φ = 11796480.

The previous prime is 26051057. The next prime is 26051117. The reversal of 26051072 is 27015062.

It can be written as a sum of positive squares in 4 ways, for example, as 20214016 + 5837056 = 4496^2 + 2416^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 356828 + ... + 356900.

Almost surely, 226051072 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 26051072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28615356).

26051072 is an abundant number, since it is smaller than the sum of its proper divisors (31179640).

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

26051072 is an equidigital number, since it uses as much as digits as its factorization.

26051072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 26051072 is about 5104.0250783083. The cubic root of 26051072 is about 296.4434550974.

The spelling of 26051072 in words is "twenty-six million, fifty-one thousand, seventy-two".

Divisors: 1 2 4 8 16 17 32 34 41 64 68 73 82 128 136 146 164 256 272 292 328 512 544 584 656 697 1088 1168 1241 1312 1394 2176 2336 2482 2624 2788 2993 4352 4672 4964 5248 5576 5986 8704 9344 9928 10496 11152 11972 18688 19856 20992 22304 23944 37376 39712 44608 47888 50881 79424 89216 95776 101762 158848 178432 191552 203524 317696 356864 383104 407048 635392 766208 814096 1532416 1628192 3256384 6512768 13025536 26051072