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5286656 = 28107193
BaseRepresentation
bin10100001010101100000000
3100221120221002
4110022230000
52323133111
6305151132
762635664
oct24125400
910846832
105286656
112a90a41
12192b4a8
1311313cb
149b88a4
156e663b
hex50ab00

5286656 has 36 divisors (see below), whose sum is σ = 10706472. Its totient is φ = 2605056.

The previous prime is 5286653. The next prime is 5286683. The reversal of 5286656 is 6566825.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5286653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27296 + ... + 27488.

It is an arithmetic number, because the mean of its divisors is an integer number (297402).

Almost surely, 25286656 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 5286656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5353236).

5286656 is an abundant number, since it is smaller than the sum of its proper divisors (5419816).

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

5286656 is a wasteful number, since it uses less digits than its factorization.

5286656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 302 counting only the distinct ones).

The product of its digits is 86400, while the sum is 38.

The square root of 5286656 is about 2299.2729285581. The cubic root of 5286656 is about 174.2048936133.

The spelling of 5286656 in words is "five million, two hundred eighty-six thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 107 128 193 214 256 386 428 772 856 1544 1712 3088 3424 6176 6848 12352 13696 20651 24704 27392 41302 49408 82604 165208 330416 660832 1321664 2643328 5286656