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26343648 = 2532234197
BaseRepresentation
bin110010001111…
…1100011100000
31211120101200200
41210133203200
523220444043
62340345200
7436626432
oct144374340
954511620
1026343648
1113963411
1289a5200
1355c4976
1436da652
1524a57d3
hex191f8e0

26343648 has 144 divisors (see below), whose sum is σ = 80904096. Its totient is φ = 8110080.

The previous prime is 26343637. The next prime is 26343661. The reversal of 26343648 is 84634362.

It is a happy number.

26343648 is a `hidden beast` number, since 2 + 6 + 3 + 4 + 3 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 271536 + ... + 271632.

It is an arithmetic number, because the mean of its divisors is an integer number (561834).

Almost surely, 226343648 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 26343648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40452048).

26343648 is an abundant number, since it is smaller than the sum of its proper divisors (54560448).

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

26343648 is a wasteful number, since it uses less digits than its factorization.

26343648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 166 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 26343648 is about 5132.6063554494. The cubic root of 26343648 is about 297.5490981273.

The spelling of 26343648 in words is "twenty-six million, three hundred forty-three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 41 46 48 69 72 82 92 96 97 123 138 144 164 184 194 207 246 276 288 291 328 368 369 388 414 492 552 582 656 736 738 776 828 873 943 984 1104 1164 1312 1476 1552 1656 1746 1886 1968 2208 2231 2328 2829 2952 3104 3312 3492 3772 3936 3977 4462 4656 5658 5904 6624 6693 6984 7544 7954 8487 8924 9312 11316 11808 11931 13386 13968 15088 15908 16974 17848 20079 22632 23862 26772 27936 30176 31816 33948 35696 35793 40158 45264 47724 53544 63632 67896 71392 71586 80316 90528 91471 95448 107088 127264 135792 143172 160632 182942 190896 214176 271584 274413 286344 321264 365884 381792 548826 572688 642528 731768 823239 1097652 1145376 1463536 1646478 2195304 2927072 3292956 4390608 6585912 8781216 13171824 26343648