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643316928 = 26337137661
BaseRepresentation
bin100110010110000…
…011110011000000
31122211111212220220
4212112003303000
52304142120203
6143500303040
721641050362
oct4626036300
91584455826
10643316928
11300154591
1215b541a80
13a3384107
1461620d32
153b727653
hex26583cc0

643316928 has 112 divisors (see below), whose sum is σ = 1763536224. Its totient is φ = 206807040.

The previous prime is 643316917. The next prime is 643316951. The reversal of 643316928 is 829613346.

It is a self number, because there is not a number n which added to its sum of digits gives 643316928.

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, 972918 + ... + 973578.

Almost surely, 2643316928 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 643316928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881768112).

643316928 is an abundant number, since it is smaller than the sum of its proper divisors (1120219296).

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

643316928 is a wasteful number, since it uses less digits than its factorization.

643316928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850 (or 840 counting only the distinct ones).

The product of its digits is 186624, while the sum is 42.

The square root of 643316928 is about 25363.6931064859. The cubic root of 643316928 is about 863.2600832625.

The spelling of 643316928 in words is "six hundred forty-three million, three hundred sixteen thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 137 148 192 222 274 296 411 444 548 592 661 822 888 1096 1184 1322 1644 1776 1983 2192 2368 2644 3288 3552 3966 4384 5069 5288 6576 7104 7932 8768 10138 10576 13152 15207 15864 20276 21152 24457 26304 30414 31728 40552 42304 48914 60828 63456 73371 81104 90557 97828 121656 126912 146742 162208 181114 195656 243312 271671 293484 324416 362228 391312 486624 543342 586968 724456 782624 973248 1086684 1173936 1448912 1565248 2173368 2347872 2897824 3350609 4346736 4695744 5795648 6701218 8693472 10051827 13402436 17386944 20103654 26804872 40207308 53609744 80414616 107219488 160829232 214438976 321658464 643316928