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5324239584 = 2532193131387
BaseRepresentation
bin1001111010101100…
…10111001011100000
3111202001111101122200
410331112113023200
541401001131314
62240152533200
7245640201246
oct47526271340
914661441580
105324239584
112292438004
1210470b1200
1366b095731
14387184796
15212652709
hex13d5972e0

5324239584 has 144 divisors (see below), whose sum is σ = 16452334080. Its totient is φ = 1627050240.

The previous prime is 5324239577. The next prime is 5324239607. The reversal of 5324239584 is 4859324235.

5324239584 is a `hidden beast` number, since 5 + 32 + 4 + 2 + 39 + 584 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153939 + ... + 185325.

It is an arithmetic number, because the mean of its divisors is an integer number (114252320).

Almost surely, 25324239584 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 5324239584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8226167040).

5324239584 is an abundant number, since it is smaller than the sum of its proper divisors (11128094496).

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

5324239584 is a wasteful number, since it uses less digits than its factorization.

5324239584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31453 (or 31442 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The square root of 5324239584 is about 72967.3871260305. The cubic root of 5324239584 is about 1746.1673493268.

The spelling of 5324239584 in words is "five billion, three hundred twenty-four million, two hundred thirty-nine thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 31 32 36 38 48 57 62 72 76 93 96 114 124 144 152 171 186 228 248 279 288 304 342 372 456 496 558 589 608 684 744 912 992 1116 1178 1368 1488 1767 1824 2232 2356 2736 2976 3534 4464 4712 5301 5472 7068 8928 9424 10602 14136 18848 21204 28272 31387 42408 56544 62774 84816 94161 125548 169632 188322 251096 282483 376644 502192 564966 596353 753288 972997 1004384 1129932 1192706 1506576 1789059 1945994 2259864 2385412 2918991 3013152 3578118 3891988 4519728 4770824 5367177 5837982 7156236 7783976 8756973 9039456 9541648 10734354 11675964 14312472 15567952 17513946 18486943 19083296 21468708 23351928 28624944 31135904 35027892 36973886 42937416 46703856 55460829 57249888 70055784 73947772 85874832 93407712 110921658 140111568 147895544 166382487 171749664 221843316 280223136 295791088 332764974 443686632 591582176 665529948 887373264 1331059896 1774746528 2662119792 5324239584