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2559427056 = 243238945691
BaseRepresentation
bin1001100010001101…
…1100000111110000
320121101000100212200
42120203130013300
520220203131211
61101545223200
7120265525314
oct23043340760
96541010780
102559427056
1110a380347a
125b5191b00
1331a3386a4
141a3cbdb44
15eea68b56
hex988dc1f0

2559427056 has 60 divisors (see below), whose sum is σ = 7181411640. Its totient is φ = 850930560.

The previous prime is 2559427007. The next prime is 2559427109. The reversal of 2559427056 is 6507249552.

2559427056 is a `hidden beast` number, since 2 + 5 + 594 + 2 + 7 + 0 + 56 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33171 + ... + 78861.

It is an arithmetic number, because the mean of its divisors is an integer number (119690194).

Almost surely, 22559427056 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 2559427056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3590705820).

2559427056 is an abundant number, since it is smaller than the sum of its proper divisors (4621984584).

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

2559427056 is a wasteful number, since it uses less digits than its factorization.

2559427056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46094 (or 46085 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The square root of 2559427056 is about 50590.7803458298. The cubic root of 2559427056 is about 1367.8786955125.

It can be divided in two parts, 25594 and 27056, that added together give a triangular number (52650 = T324).

The spelling of 2559427056 in words is "two billion, five hundred fifty-nine million, four hundred twenty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 389 778 1167 1556 2334 3112 3501 4668 6224 7002 9336 14004 18672 28008 45691 56016 91382 137073 182764 274146 365528 411219 548292 731056 822438 1096584 1644876 2193168 3289752 6579504 17773799 35547598 53321397 71095196 106642794 142190392 159964191 213285588 284380784 319928382 426571176 639856764 853142352 1279713528 2559427056