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26423964 = 22327234797
BaseRepresentation
bin110010011001…
…1001010011100
31211201110212100
41210303022130
523231031324
62342205100
7440412540
oct144631234
954643770
1026423964
1113a08796
128a23790
1356223a8
14371ba20
1524be4c9
hex193329c

26423964 has 144 divisors (see below), whose sum is σ = 82188288. Its totient is φ = 6994944.

The previous prime is 26423953. The next prime is 26423977. The reversal of 26423964 is 46932462.

26423964 is a `hidden beast` number, since 2 + 642 + 3 + 9 + 6 + 4 = 666.

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 47 ways as a sum of consecutive naturals, for example, 272364 + ... + 272460.

It is an arithmetic number, because the mean of its divisors is an integer number (570752).

Almost surely, 226423964 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 26423964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41094144).

26423964 is an abundant number, since it is smaller than the sum of its proper divisors (55764324).

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

26423964 is a wasteful number, since it uses less digits than its factorization.

26423964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 179 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 26423964 is about 5140.4244960898. The cubic root of 26423964 is about 297.8511786375.

The spelling of 26423964 in words is "twenty-six million, four hundred twenty-three thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 47 63 69 84 92 94 97 126 138 141 161 188 194 207 252 276 282 291 322 329 388 414 423 483 564 582 644 658 679 828 846 873 966 987 1081 1164 1316 1358 1449 1692 1746 1932 1974 2037 2162 2231 2716 2898 2961 3243 3492 3948 4074 4324 4462 4559 5796 5922 6111 6486 6693 7567 8148 8924 9118 9729 11844 12222 12972 13386 13677 15134 15617 18236 19458 20079 22701 24444 26772 27354 30268 31234 31913 38916 40158 41031 45402 46851 54708 62468 63826 68103 80316 82062 90804 93702 95739 104857 127652 136206 140553 164124 187404 191478 209714 272412 281106 287217 314571 382956 419428 562212 574434 629142 733999 943713 1148868 1258284 1467998 1887426 2201997 2935996 3774852 4403994 6605991 8807988 13211982 26423964