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5324036328 = 2332138368531
BaseRepresentation
bin1001111010101011…
…00101100011101000
3111202001010001211200
410331111211203220
541400423130303
62240144324200
7245635363542
oct47525454350
914661101750
105324036328
112292309326
121047013660
1366b024070
14387130692
152126123a3
hex13d5658e8

5324036328 has 96 divisors (see below), whose sum is σ = 15715758240. Its totient is φ = 1618404480.

The previous prime is 5324036327. The next prime is 5324036329. The reversal of 5324036328 is 8236304235.

It is a happy number.

5324036328 is a `hidden beast` number, since 5 + 324 + 0 + 3 + 6 + 328 = 666.

It is an interprime number because it is at equal distance from previous prime (5324036327) and next prime (5324036329).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5324036292 and 5324036301.

It is not an unprimeable number, because it can be changed into a prime (5324036321) by changing a digit.

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, 43423 + ... + 111953.

It is an arithmetic number, because the mean of its divisors is an integer number (163705815).

Almost surely, 25324036328 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 5324036328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7857879120).

5324036328 is an abundant number, since it is smaller than the sum of its proper divisors (10391721912).

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

5324036328 is a wasteful number, since it uses less digits than its factorization.

5324036328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68639 (or 68632 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 5324036328 is about 72965.9943261243. The cubic root of 5324036328 is about 1746.1451287197.

The spelling of 5324036328 in words is "five billion, three hundred twenty-four million, thirty-six thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 83 104 117 156 166 234 249 312 332 468 498 664 747 936 996 1079 1494 1992 2158 2988 3237 4316 5976 6474 8632 9711 12948 19422 25896 38844 68531 77688 137062 205593 274124 411186 548248 616779 822372 890903 1233558 1644744 1781806 2467116 2672709 3563612 4934232 5345418 5688073 7127224 8018127 10690836 11376146 16036254 17064219 21381672 22752292 32072508 34128438 45504584 51192657 64145016 68256876 73944949 102385314 136513752 147889898 204770628 221834847 295779796 409541256 443669694 591559592 665504541 887339388 1331009082 1774678776 2662018164 5324036328