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5226768 = 243437109
BaseRepresentation
bin10011111100000100010000
3100211112210000
4103330010100
52314224033
6304010000
762266251
oct23740420
910745700
105226768
112a4aa48
121900900
131110081
149a0b28
156d3a13
hex4fc110

5226768 has 100 divisors (see below), whose sum is σ = 15679180. Its totient is φ = 1679616.

The previous prime is 5226763. The next prime is 5226791. The reversal of 5226768 is 8676225.

It can be written as a sum of positive squares in 2 ways, for example, as 4210704 + 1016064 = 2052^2 + 1008^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5226763) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 47898 + ... + 48006.

Almost surely, 25226768 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 5226768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7839590).

5226768 is an abundant number, since it is smaller than the sum of its proper divisors (10452412).

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

5226768 is a wasteful number, since it uses less digits than its factorization.

5226768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 151 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 5226768 is about 2286.2125885403. The cubic root of 5226768 is about 173.5445879197.

The spelling of 5226768 in words is "five million, two hundred twenty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 37 48 54 72 74 81 108 109 111 144 148 162 216 218 222 296 324 327 333 432 436 444 592 648 654 666 872 888 981 999 1296 1308 1332 1744 1776 1962 1998 2616 2664 2943 2997 3924 3996 4033 5232 5328 5886 5994 7848 7992 8066 8829 11772 11988 12099 15696 15984 16132 17658 23544 23976 24198 32264 35316 36297 47088 47952 48396 64528 70632 72594 96792 108891 141264 145188 193584 217782 290376 326673 435564 580752 653346 871128 1306692 1742256 2613384 5226768