Search a number
-
+
5298304 = 27115371
BaseRepresentation
bin10100001101100010000000
3100222011220111
4110031202000
52324021204
6305321104
763014644
oct24154200
910864814
105298304
112a99770
121936194
1311367bb
149bcc24
156e9d04
hex50d880

5298304 has 64 divisors (see below), whose sum is σ = 11897280. Its totient is φ = 2329600.

The previous prime is 5298299. The next prime is 5298323. The reversal of 5298304 is 4038925.

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

It is an Ulam number.

It is a plaindrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74589 + ... + 74659.

It is an arithmetic number, because the mean of its divisors is an integer number (185895).

Almost surely, 25298304 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 5298304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5948640).

5298304 is an abundant number, since it is smaller than the sum of its proper divisors (6598976).

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

5298304 is a wasteful number, since it uses less digits than its factorization.

5298304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 5298304 is about 2301.8045095099. The cubic root of 5298304 is about 174.3327406661.

The spelling of 5298304 in words is "five million, two hundred ninety-eight thousand, three hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 53 64 71 88 106 128 142 176 212 284 352 424 568 583 704 781 848 1136 1166 1408 1562 1696 2272 2332 3124 3392 3763 4544 4664 6248 6784 7526 9088 9328 12496 15052 18656 24992 30104 37312 41393 49984 60208 74624 82786 99968 120416 165572 240832 331144 481664 662288 1324576 2649152 5298304