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26424468 = 2234761191
BaseRepresentation
bin110010011001…
…1010010010100
31211201111120000
41210303102110
523231040333
62342211300
7440414160
oct144632224
954644500
1026424468
1113a09104
128a23b30
1356226a5
14371bca0
1524be713
hex1933494

26424468 has 120 divisors (see below), whose sum is σ = 80661504. Its totient is φ = 7387200.

The previous prime is 26424451. The next prime is 26424469. The reversal of 26424468 is 86442462.

It is a happy number.

26424468 is a `hidden beast` number, since 2 + 642 + 4 + 4 + 6 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26424469) 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 39 ways as a sum of consecutive naturals, for example, 138253 + ... + 138443.

Almost surely, 226424468 is an apocalyptic number.

26424468 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26424468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40330752).

26424468 is an abundant number, since it is smaller than the sum of its proper divisors (54237036).

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

26424468 is a wasteful number, since it uses less digits than its factorization.

26424468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 264 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 26424468 is about 5140.4735190447. The cubic root of 26424468 is about 297.8530723231.

The spelling of 26424468 in words is "twenty-six million, four hundred twenty-four thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 61 63 81 84 108 122 126 162 183 189 191 244 252 324 366 378 382 427 549 567 573 732 756 764 854 1098 1134 1146 1281 1337 1647 1708 1719 2196 2268 2292 2562 2674 3294 3438 3843 4011 4941 5124 5157 5348 6588 6876 7686 8022 9882 10314 11529 11651 12033 15372 15471 16044 19764 20628 23058 23302 24066 30942 34587 34953 36099 46116 46604 48132 61884 69174 69906 72198 81557 104859 108297 138348 139812 144396 163114 209718 216594 244671 314577 326228 419436 433188 489342 629154 734013 943731 978684 1258308 1468026 1887462 2202039 2936052 3774924 4404078 6606117 8808156 13212234 26424468