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5228730 = 23251341109
BaseRepresentation
bin10011111100100010111010
3100211122110200
4103330202322
52314304410
6304023030
762305053
oct23744272
910748420
105228730
112a51471
121901a76
131110c30
149a172a
156d43c0
hex4fc8ba

5228730 has 96 divisors (see below), whose sum is σ = 15135120. Its totient is φ = 1244160.

The previous prime is 5228723. The next prime is 5228731. The reversal of 5228730 is 378225.

It can be written as a sum of positive squares in 8 ways, for example, as 576081 + 4652649 = 759^2 + 2157^2 .

It is a junction number, because it is equal to n+sod(n) for n = 5228694 and 5228703.

It is not an unprimeable number, because it can be changed into a prime (5228731) 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 47 ways as a sum of consecutive naturals, for example, 47916 + ... + 48024.

Almost surely, 25228730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5228730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7567560).

5228730 is an abundant number, since it is smaller than the sum of its proper divisors (9906390).

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

5228730 is a wasteful number, since it uses less digits than its factorization.

5228730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 5228730 is about 2286.6416422343. The cubic root of 5228730 is about 173.5662999914.

It can be divided in two parts, 52 and 28730, that added together give a palindrome (28782).

The spelling of 5228730 in words is "five million, two hundred twenty-eight thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 41 45 65 78 82 90 109 117 123 130 195 205 218 234 246 327 369 390 410 533 545 585 615 654 738 981 1066 1090 1170 1230 1417 1599 1635 1845 1962 2665 2834 3198 3270 3690 4251 4469 4797 4905 5330 7085 7995 8502 8938 9594 9810 12753 13407 14170 15990 21255 22345 23985 25506 26814 40221 42510 44690 47970 58097 63765 67035 80442 116194 127530 134070 174291 201105 290485 348582 402210 522873 580970 871455 1045746 1742910 2614365 5228730