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5226368 = 27719307
BaseRepresentation
bin10011111011111110000000
3100211112020012
4103323332000
52314220433
6304004052
762265140
oct23737600
910745205
105226368
112a4a714
121900628
13110cb34
149a0920
156d3848
hex4fbf80

5226368 has 64 divisors (see below), whose sum is σ = 12566400. Its totient is φ = 2115072.

The previous prime is 5226367. The next prime is 5226371. The reversal of 5226368 is 8636225.

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

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5226367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16871 + ... + 17177.

It is an arithmetic number, because the mean of its divisors is an integer number (196350).

Almost surely, 25226368 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 5226368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6283200).

5226368 is an abundant number, since it is smaller than the sum of its proper divisors (7340032).

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

5226368 is a wasteful number, since it uses less digits than its factorization.

5226368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 335 counting only the distinct ones).

The product of its digits is 17280, while the sum is 32.

The square root of 5226368 is about 2286.1251059380. The cubic root of 5226368 is about 173.5401607347.

The spelling of 5226368 in words is "five million, two hundred twenty-six thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 224 266 304 307 448 532 608 614 896 1064 1216 1228 2128 2149 2432 2456 4256 4298 4912 5833 8512 8596 9824 11666 17024 17192 19648 23332 34384 39296 40831 46664 68768 81662 93328 137536 163324 186656 275072 326648 373312 653296 746624 1306592 2613184 5226368