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26301268 = 22731157193
BaseRepresentation
bin110010001010…
…1001101010100
31211111020120001
41210111031110
523213120033
62335421044
7436362040
oct144251524
954436501
1026301268
1113934594
128984784
1355ab5a6
1436c9020
152497e7d
hex1915354

26301268 has 48 divisors (see below), whose sum is σ = 54928384. Its totient is φ = 10782720.

The previous prime is 26301257. The next prime is 26301269. The reversal of 26301268 is 86210362.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26301269) 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 15 ways as a sum of consecutive naturals, for example, 136180 + ... + 136372.

Almost surely, 226301268 is an apocalyptic number.

26301268 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 26301268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27464192).

26301268 is an abundant number, since it is smaller than the sum of its proper divisors (28627116).

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

26301268 is a wasteful number, since it uses less digits than its factorization.

26301268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 26301268 is about 5128.4761869390. The cubic root of 26301268 is about 297.3894530780.

It can be divided in two parts, 26301 and 268, that added together give a square (26569 = 1632).

The spelling of 26301268 in words is "twenty-six million, three hundred one thousand, two hundred sixty-eight".

Divisors: 1 2 4 7 14 28 31 62 124 157 193 217 314 386 434 628 772 868 1099 1351 2198 2702 4396 4867 5404 5983 9734 11966 19468 23932 30301 34069 41881 60602 68138 83762 121204 136276 167524 212107 424214 848428 939331 1878662 3757324 6575317 13150634 26301268