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5834465328 = 243715932887
BaseRepresentation
bin1010110111100001…
…01110000000110000
3120001121120112210110
411123300232000300
543422110342303
62402540501320
7264404064666
oct53360560060
916047515713
105834465328
11252444917a
121169b4a840
1371c9bb063
143d4c3cc36
1524233a703
hex15bc2e030

5834465328 has 80 divisors (see below), whose sum is σ = 15315734016. Its totient is φ = 1913533440.

The previous prime is 5834465317. The next prime is 5834465333. The reversal of 5834465328 is 8235644385.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2019501 + ... + 2022387.

Almost surely, 25834465328 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 5834465328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7657867008).

5834465328 is an abundant number, since it is smaller than the sum of its proper divisors (9481268688).

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

5834465328 is a wasteful number, since it uses less digits than its factorization.

5834465328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3562 (or 3556 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 48.

The square root of 5834465328 is about 76383.6718677493. The cubic root of 5834465328 is about 1800.2535988371.

The spelling of 5834465328 in words is "five billion, eight hundred thirty-four million, four hundred sixty-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 71 142 213 284 426 568 593 852 1136 1186 1704 1779 2372 2887 3408 3558 4744 5774 7116 8661 9488 11548 14232 17322 23096 28464 34644 42103 46192 69288 84206 126309 138576 168412 204977 252618 336824 409954 505236 614931 673648 819908 1010472 1229862 1639816 1711991 2020944 2459724 3279632 3423982 4919448 5135973 6847964 9838896 10271946 13695928 20543892 27391856 41087784 82175568 121551361 243102722 364654083 486205444 729308166 972410888 1458616332 1944821776 2917232664 5834465328