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2559888 = 243229613
BaseRepresentation
bin1001110000111110010000
311211001111200
421300332100
51123404023
6130511200
730521142
oct11607620
94731450
102559888
111499311
12a35500
136b8236
144a8c92
15358743
hex270f90

2559888 has 60 divisors (see below), whose sum is σ = 7423260. Its totient is φ = 822528.

The previous prime is 2559863. The next prime is 2559901. The reversal of 2559888 is 8889552.

2559888 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 451584 + 2108304 = 672^2 + 1452^2 .

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, 3870 + ... + 4482.

It is an arithmetic number, because the mean of its divisors is an integer number (123721).

22559888 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 2559888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3711630).

2559888 is an abundant number, since it is smaller than the sum of its proper divisors (4863372).

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

2559888 is a wasteful number, since it uses less digits than its factorization.

2559888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 647 counting only the distinct ones).

The product of its digits is 230400, while the sum is 45.

The square root of 2559888 is about 1599.9649996172. The cubic root of 2559888 is about 136.7960807331.

The spelling of 2559888 in words is "two million, five hundred fifty-nine thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 613 696 1044 1226 1392 1839 2088 2452 3678 4176 4904 5517 7356 9808 11034 14712 17777 22068 29424 35554 44136 53331 71108 88272 106662 142216 159993 213324 284432 319986 426648 639972 853296 1279944 2559888