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26000268 = 2237973191
BaseRepresentation
bin110001100101…
…1101110001100
31210220221122220
41203023232030
523124002033
62325135340
7433666350
oct143135614
953827586
1026000268
1113749428
12885a550
135504598
14364b460
152438bb3
hex18cbb8c

26000268 has 48 divisors (see below), whose sum is σ = 70070784. Its totient is φ = 7349760.

The previous prime is 26000267. The next prime is 26000279. The reversal of 26000268 is 86200062.

It is not an unprimeable number, because it can be changed into a prime (26000267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6553 + ... + 9743.

It is an arithmetic number, because the mean of its divisors is an integer number (1459808).

Almost surely, 226000268 is an apocalyptic number.

26000268 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 26000268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35035392).

26000268 is an abundant number, since it is smaller than the sum of its proper divisors (44070516).

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

26000268 is a wasteful number, since it uses less digits than its factorization.

26000268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3302 (or 3300 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 26000268 is about 5099.0457930872. The cubic root of 26000268 is about 296.2506247205.

The spelling of 26000268 in words is "twenty-six million, two hundred sixty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 97 194 291 388 582 679 1164 1358 2037 2716 3191 4074 6382 8148 9573 12764 19146 22337 38292 44674 67011 89348 134022 268044 309527 619054 928581 1238108 1857162 2166689 3714324 4333378 6500067 8666756 13000134 26000268