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26320896 = 21333717
BaseRepresentation
bin110010001101…
…0000000000000
31211112020111000
41210122000000
523214232041
62340052000
7436503210
oct144320000
954466430
1026320896
1113948308
128994000
1355b74c4
1436d2240
15249dbb6
hex191a000

26320896 has 224 divisors, whose sum is σ = 94366080. Its totient is φ = 7077888.

The previous prime is 26320867. The next prime is 26320919. The reversal of 26320896 is 69802362.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a self number, because there is not a number n which added to its sum of digits gives 26320896.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1548280 + ... + 1548296.

Almost surely, 226320896 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 26320896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47183040).

26320896 is an abundant number, since it is smaller than the sum of its proper divisors (68045184).

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

26320896 is an equidigital number, since it uses as much as digits as its factorization.

26320896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 26320896 is about 5130.3894589008. The cubic root of 26320896 is about 297.4634128676.

The spelling of 26320896 in words is "twenty-six million, three hundred twenty thousand, eight hundred ninety-six".