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26268288 = 273671021
BaseRepresentation
bin110010000110…
…1001010000000
31211102120022120
41210031022000
523211041123
62335004240
7436163634
oct144151200
954376276
1026268288
1113911832
128969680
135599587
1436badc4
15248d2e3
hex190d280

26268288 has 64 divisors (see below), whose sum is σ = 70885920. Its totient is φ = 8616960.

The previous prime is 26268269. The next prime is 26268289. The reversal of 26268288 is 88286262.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (26268289) 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, 25218 + ... + 26238.

Almost surely, 226268288 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 26268288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35442960).

26268288 is an abundant number, since it is smaller than the sum of its proper divisors (44617632).

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

26268288 is a wasteful number, since it uses less digits than its factorization.

26268288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105 (or 1093 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The square root of 26268288 is about 5125.2597982932. The cubic root of 26268288 is about 297.2650990417.

The spelling of 26268288 in words is "twenty-six million, two hundred sixty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 128 134 192 201 268 384 402 536 804 1021 1072 1608 2042 2144 3063 3216 4084 4288 6126 6432 8168 8576 12252 12864 16336 24504 25728 32672 49008 65344 68407 98016 130688 136814 196032 205221 273628 392064 410442 547256 820884 1094512 1641768 2189024 3283536 4378048 6567072 8756096 13134144 26268288