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26064768 = 273103659
BaseRepresentation
bin110001101101…
…1011110000000
31211001020010210
41203123132000
523133033033
62330354120
7434355402
oct143333600
954036123
1026064768
1113792934
12888b940
135527a52
143666b72
15244cd63
hex18db780

26064768 has 64 divisors (see below), whose sum is σ = 70012800. Its totient is φ = 8590848.

The previous prime is 26064763. The next prime is 26064781. The reversal of 26064768 is 86746062.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26064763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39223 + ... + 39881.

It is an arithmetic number, because the mean of its divisors is an integer number (1093950).

Almost surely, 226064768 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 26064768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35006400).

26064768 is an abundant number, since it is smaller than the sum of its proper divisors (43948032).

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

26064768 is a wasteful number, since it uses less digits than its factorization.

26064768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 26064768 is about 5105.3665882089. The cubic root of 26064768 is about 296.4953963797.

The spelling of 26064768 in words is "twenty-six million, sixty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 103 128 192 206 309 384 412 618 659 824 1236 1318 1648 1977 2472 2636 3296 3954 4944 5272 6592 7908 9888 10544 13184 15816 19776 21088 31632 39552 42176 63264 67877 84352 126528 135754 203631 253056 271508 407262 543016 814524 1086032 1629048 2172064 3258096 4344128 6516192 8688256 13032384 26064768