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5296256 = 27723257
BaseRepresentation
bin10100001101000010000000
3100222002002122
4110031002000
52323440011
6305303412
763005660
oct24150200
910862078
105296256
112a98179
121934b68
1311358a4
149bc1a0
156e93db
hex50d080

5296256 has 64 divisors (see below), whose sum is σ = 12631680. Its totient is φ = 2162688.

The previous prime is 5296243. The next prime is 5296309. The reversal of 5296256 is 6526925.

5296256 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

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, 20480 + ... + 20736.

It is an arithmetic number, because the mean of its divisors is an integer number (197370).

Almost surely, 25296256 is an apocalyptic number.

5296256 is a gapful number since it is divisible by the number (56) 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 5296256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6315840).

5296256 is an abundant number, since it is smaller than the sum of its proper divisors (7335424).

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

5296256 is a wasteful number, since it uses less digits than its factorization.

5296256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 289 counting only the distinct ones).

The product of its digits is 32400, while the sum is 35.

The square root of 5296256 is about 2301.3595981506. The cubic root of 5296256 is about 174.3102756493.

The spelling of 5296256 in words is "five million, two hundred ninety-six thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 128 161 184 224 257 322 368 448 514 644 736 896 1028 1288 1472 1799 2056 2576 2944 3598 4112 5152 5911 7196 8224 10304 11822 14392 16448 20608 23644 28784 32896 41377 47288 57568 82754 94576 115136 165508 189152 230272 331016 378304 662032 756608 1324064 2648128 5296256