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5226336 = 253323263
BaseRepresentation
bin10011111011111101100000
3100211112012000
4103323331200
52314220321
6304004000
762265063
oct23737540
910745160
105226336
112a4a695
121900600
13110cb0b
149a08da
156d3826
hex4fbf60

5226336 has 96 divisors (see below), whose sum is σ = 15966720. Its totient is φ = 1660032.

The previous prime is 5226317. The next prime is 5226343. The reversal of 5226336 is 6336225.

5226336 is a `hidden beast` number, since 5 + 22 + 633 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19741 + ... + 20003.

It is an arithmetic number, because the mean of its divisors is an integer number (166320).

Almost surely, 25226336 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 5226336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7983360).

5226336 is an abundant number, since it is smaller than the sum of its proper divisors (10740384).

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

5226336 is a wasteful number, since it uses less digits than its factorization.

5226336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 291 counting only the distinct ones).

The product of its digits is 6480, while the sum is 27.

The square root of 5226336 is about 2286.1181071852. The cubic root of 5226336 is about 173.5398065501.

The spelling of 5226336 in words is "five million, two hundred twenty-six thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 69 72 92 96 108 138 144 184 207 216 263 276 288 368 414 432 526 552 621 736 789 828 864 1052 1104 1242 1578 1656 2104 2208 2367 2484 3156 3312 4208 4734 4968 6049 6312 6624 7101 8416 9468 9936 12098 12624 14202 18147 18936 19872 24196 25248 28404 36294 37872 48392 54441 56808 72588 75744 96784 108882 113616 145176 163323 193568 217764 227232 290352 326646 435528 580704 653292 871056 1306584 1742112 2613168 5226336