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26409240 = 23355111319
BaseRepresentation
bin110010010111…
…1100100011000
31211200201200000
41210233210120
523230043430
62342013000
7440321604
oct144574430
954621600
1026409240
11139a8720
128a17160
135618790
143716504
1524b9e60
hex192f918

26409240 has 384 divisors, whose sum is σ = 110073600. Its totient is φ = 5598720.

The previous prime is 26409233. The next prime is 26409263. The reversal of 26409240 is 4290462.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1389951 + ... + 1389969.

It is an arithmetic number, because the mean of its divisors is an integer number (286650).

Almost surely, 226409240 is an apocalyptic number.

26409240 is a gapful number since it is divisible by the number (20) 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 26409240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55036800).

26409240 is an abundant number, since it is smaller than the sum of its proper divisors (83664360).

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

26409240 is a wasteful number, since it uses less digits than its factorization.

26409240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 26409240 is about 5138.9921190833. The cubic root of 26409240 is about 297.7958453349.

The spelling of 26409240 in words is "twenty-six million, four hundred nine thousand, two hundred forty".