Search a number
-
+
5528304 = 243367191
BaseRepresentation
bin10101000101101011110000
3101101212102000
4111011223300
52403401204
6314254000
764663335
oct25055360
911355360
105528304
113136551
121a27300
1311b73b2
14a3c98c
15743039
hex545af0

5528304 has 80 divisors (see below), whose sum is σ = 16189440. Its totient is φ = 1805760.

The previous prime is 5528287. The next prime is 5528387. The reversal of 5528304 is 4038255.

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

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28849 + ... + 29039.

It is an arithmetic number, because the mean of its divisors is an integer number (202368).

Almost surely, 25528304 is an apocalyptic number.

5528304 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5528304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8094720).

5528304 is an abundant number, since it is smaller than the sum of its proper divisors (10661136).

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

5528304 is a wasteful number, since it uses less digits than its factorization.

5528304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 5528304 is about 2351.2345693274. The cubic root of 5528304 is about 176.8196957372.

It can be divided in two parts, 5528 and 304, that added together give a cube (5832 = 183).

The spelling of 5528304 in words is "five million, five hundred twenty-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 67 72 108 134 144 191 201 216 268 382 402 432 536 573 603 764 804 1072 1146 1206 1528 1608 1719 1809 2292 2412 3056 3216 3438 3618 4584 4824 5157 6876 7236 9168 9648 10314 12797 13752 14472 20628 25594 27504 28944 38391 41256 51188 76782 82512 102376 115173 153564 204752 230346 307128 345519 460692 614256 691038 921384 1382076 1842768 2764152 5528304