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5259664 = 241761317
BaseRepresentation
bin10100000100000110010000
3100220012220101
4110010012100
52321302124
6304422144
762464204
oct24040620
910805811
105259664
112a72733
121917954
131122037
149acb04
156dd644
hex504190

5259664 has 40 divisors (see below), whose sum is σ = 11001528. Its totient is φ = 2426880.

The previous prime is 5259641. The next prime is 5259671. The reversal of 5259664 is 4669525.

It can be written as a sum of positive squares in 4 ways, for example, as 6400 + 5253264 = 80^2 + 2292^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16434 + ... + 16750.

Almost surely, 25259664 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 5259664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5500764).

5259664 is an abundant number, since it is smaller than the sum of its proper divisors (5741864).

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

5259664 is a wasteful number, since it uses less digits than its factorization.

5259664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 397 counting only the distinct ones).

The product of its digits is 64800, while the sum is 37.

The square root of 5259664 is about 2293.3957355851. The cubic root of 5259664 is about 173.9079091673.

The spelling of 5259664 in words is "five million, two hundred fifty-nine thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 17 34 61 68 122 136 244 272 317 488 634 976 1037 1268 2074 2536 4148 5072 5389 8296 10778 16592 19337 21556 38674 43112 77348 86224 154696 309392 328729 657458 1314916 2629832 5259664