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5208324 = 22311217211
BaseRepresentation
bin10011110111100100000100
3100210121110220
4103313210010
52313131244
6303344340
762161422
oct23674404
910717426
105208324
112a38100
1218b20b0
131104864
14998112
156cd319
hex4f7904

5208324 has 72 divisors (see below), whose sum is σ = 14210784. Its totient is φ = 1478400.

The previous prime is 5208293. The next prime is 5208367. The reversal of 5208324 is 4238025.

It is a junction number, because it is equal to n+sod(n) for n = 5208294 and 5208303.

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 23 ways as a sum of consecutive naturals, for example, 24579 + ... + 24789.

It is an arithmetic number, because the mean of its divisors is an integer number (197372).

Almost surely, 25208324 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 5208324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7105392).

5208324 is an abundant number, since it is smaller than the sum of its proper divisors (9002460).

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

5208324 is a wasteful number, since it uses less digits than its factorization.

5208324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 5208324 is about 2282.1752781064. The cubic root of 5208324 is about 173.3402150456.

Subtracting from 5208324 its reverse (4238025), we obtain a cube (970299 = 993).

The spelling of 5208324 in words is "five million, two hundred eight thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 121 132 187 204 211 242 363 374 422 484 561 633 726 748 844 1122 1266 1452 2057 2244 2321 2532 3587 4114 4642 6171 6963 7174 8228 9284 10761 12342 13926 14348 21522 24684 25531 27852 39457 43044 51062 76593 78914 102124 118371 153186 157828 236742 306372 434027 473484 868054 1302081 1736108 2604162 5208324