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26290656 = 25367223
BaseRepresentation
bin110010001001…
…0100111100000
31211110201000000
41210102213200
523212300111
62335300000
7436316100
oct144224740
954421000
1026290656
1113927617
12897a600
1355a6802
1436c5200
152494c56
hex19129e0

26290656 has 252 divisors, whose sum is σ = 94199112. Its totient is φ = 7185024.

The previous prime is 26290613. The next prime is 26290657. The reversal of 26290656 is 65609262.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 26290656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26290657) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 1143061 + ... + 1143083.

It is an arithmetic number, because the mean of its divisors is an integer number (373806).

Almost surely, 226290656 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 26290656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47099556).

26290656 is an abundant number, since it is smaller than the sum of its proper divisors (67908456).

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

26290656 is an equidigital number, since it uses as much as digits as its factorization.

26290656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 26290656 is about 5127.4414672427. The cubic root of 26290656 is about 297.3494509329.

The spelling of 26290656 in words is "twenty-six million, two hundred ninety thousand, six hundred fifty-six".