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26248768 = 267134507
BaseRepresentation
bin110010000100…
…0011001000000
31211101120112121
41210020121000
523204430033
62334334024
7436053010
oct144103100
954346477
1026248768
11138a90a7
12895a314
135590720
1436b3c40
15248762d
hex1908640

26248768 has 56 divisors (see below), whose sum is σ = 64121792. Its totient is φ = 10381824.

The previous prime is 26248759. The next prime is 26248787. The reversal of 26248768 is 86784262.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3571 + ... + 8077.

It is an arithmetic number, because the mean of its divisors is an integer number (1145032).

Almost surely, 226248768 is an apocalyptic number.

26248768 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 26248768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32060896).

26248768 is an abundant number, since it is smaller than the sum of its proper divisors (37873024).

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

26248768 is a wasteful number, since it uses less digits than its factorization.

26248768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4539 (or 4529 counting only the distinct ones).

The product of its digits is 258048, while the sum is 43.

The square root of 26248768 is about 5123.3551506801. The cubic root of 26248768 is about 297.1914480976.

The spelling of 26248768 in words is "twenty-six million, two hundred forty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 182 208 224 364 416 448 728 832 1456 2912 4507 5824 9014 18028 31549 36056 58591 63098 72112 117182 126196 144224 234364 252392 288448 410137 468728 504784 820274 937456 1009568 1640548 1874912 2019136 3281096 3749824 6562192 13124384 26248768