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26086016 = 271197191
BaseRepresentation
bin110001110000…
…0101010000000
31211002022021202
41203200222000
523134223031
62331040332
7434504345
oct143405200
954068252
1026086016
11137a78a0
1288a00a8
135534618
1436707cc
1524542cb
hex18e0a80

26086016 has 64 divisors (see below), whose sum is σ = 57576960. Its totient is φ = 11673600.

The previous prime is 26086013. The next prime is 26086019. The reversal of 26086016 is 61068062.

It is an interprime number because it is at equal distance from previous prime (26086013) and next prime (26086019).

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 26086016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26086013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 136481 + ... + 136671.

It is an arithmetic number, because the mean of its divisors is an integer number (899640).

Almost surely, 226086016 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 26086016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28788480).

26086016 is an abundant number, since it is smaller than the sum of its proper divisors (31490944).

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

26086016 is a wasteful number, since it uses less digits than its factorization.

26086016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 26086016 is about 5107.4471118162. The cubic root of 26086016 is about 296.5759421833.

The spelling of 26086016 in words is "twenty-six million, eighty-six thousand, sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 97 128 176 191 194 352 382 388 704 764 776 1067 1408 1528 1552 2101 2134 3056 3104 4202 4268 6112 6208 8404 8536 12224 12416 16808 17072 18527 24448 33616 34144 37054 67232 68288 74108 134464 136576 148216 203797 268928 296432 407594 592864 815188 1185728 1630376 2371456 3260752 6521504 13043008 26086016