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26344064 = 272947151
BaseRepresentation
bin110010001111…
…1101010000000
31211120102021002
41210133222000
523221002224
62340351132
7436630565
oct144375200
954512232
1026344064
111396375a
1289a54a8
1355c4c06
1436da86c
1524a59ae
hex191fa80

26344064 has 64 divisors (see below), whose sum is σ = 55814400. Its totient is φ = 12364800.

The previous prime is 26344063. The next prime is 26344069. The reversal of 26344064 is 46044362.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26344061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 174389 + ... + 174539.

It is an arithmetic number, because the mean of its divisors is an integer number (872100).

Almost surely, 226344064 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 26344064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27907200).

26344064 is an abundant number, since it is smaller than the sum of its proper divisors (29470336).

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

26344064 is a wasteful number, since it uses less digits than its factorization.

26344064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

The square root of 26344064 is about 5132.6468805091. The cubic root of 26344064 is about 297.5506643464.

The spelling of 26344064 in words is "twenty-six million, three hundred forty-four thousand, sixty-four".

Divisors: 1 2 4 8 16 29 32 47 58 64 94 116 128 151 188 232 302 376 464 604 752 928 1208 1363 1504 1856 2416 2726 3008 3712 4379 4832 5452 6016 7097 8758 9664 10904 14194 17516 19328 21808 28388 35032 43616 56776 70064 87232 113552 140128 174464 205813 227104 280256 411626 454208 560512 823252 908416 1646504 3293008 6586016 13172032 26344064