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5528292 = 22371131193
BaseRepresentation
bin10101000101101011100100
3101101212101120
4111011223210
52403401132
6314253540
764663320
oct25055344
911355346
105528292
113136540
121a272b0
1311b73a3
14a3c980
1574302c
hex545ae4

5528292 has 96 divisors (see below), whose sum is σ = 16687104. Its totient is φ = 1382400.

The previous prime is 5528287. The next prime is 5528387. The reversal of 5528292 is 2928255.

5528292 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28548 + ... + 28740.

It is an arithmetic number, because the mean of its divisors is an integer number (173824).

Almost surely, 25528292 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 5528292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8343552).

5528292 is an abundant number, since it is smaller than the sum of its proper divisors (11158812).

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

5528292 is a wasteful number, since it uses less digits than its factorization.

5528292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 247 counting only the distinct ones).

The product of its digits is 14400, while the sum is 33.

The square root of 5528292 is about 2351.2320174751. The cubic root of 5528292 is about 176.8195677993.

The spelling of 5528292 in words is "five million, five hundred twenty-eight thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 31 33 42 44 62 66 77 84 93 124 132 154 186 193 217 231 308 341 372 386 434 462 579 651 682 772 868 924 1023 1158 1302 1351 1364 2046 2123 2316 2387 2604 2702 4053 4092 4246 4774 5404 5983 6369 7161 8106 8492 9548 11966 12738 14322 14861 16212 17949 23932 25476 28644 29722 35898 41881 44583 59444 65813 71796 83762 89166 125643 131626 167524 178332 197439 251286 263252 394878 460691 502572 789756 921382 1382073 1842764 2764146 5528292