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643496028 = 2237219239241
BaseRepresentation
bin100110010110101…
…111100001011100
31122211211222121020
4212112233201130
52304213333103
6143504204140
721642424500
oct4626574134
91584758536
10643496028
113002670aa
1215b609650
13a34177a6
146166a300
153b760753
hex265af85c

643496028 has 144 divisors (see below), whose sum is σ = 1853913600. Its totient is φ = 172730880.

The previous prime is 643496027. The next prime is 643496033. The reversal of 643496028 is 820694346.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (643496027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2669988 + ... + 2670228.

It is an arithmetic number, because the mean of its divisors is an integer number (12874400).

Almost surely, 2643496028 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 643496028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926956800).

643496028 is an abundant number, since it is smaller than the sum of its proper divisors (1210417572).

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

643496028 is a wasteful number, since it uses less digits than its factorization.

643496028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 643496028 is about 25367.2234980496. The cubic root of 643496028 is about 863.3401866188.

The spelling of 643496028 in words is "six hundred forty-three million, four hundred ninety-six thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 49 57 76 84 98 114 133 147 196 228 239 241 266 294 399 478 482 532 588 717 723 798 931 956 964 1434 1446 1596 1673 1687 1862 2793 2868 2892 3346 3374 3724 4541 4579 5019 5061 5586 6692 6748 9082 9158 10038 10122 11172 11711 11809 13623 13737 18164 18316 20076 20244 23422 23618 27246 27474 31787 32053 35133 35427 46844 47236 54492 54948 57599 63574 64106 70266 70854 95361 96159 115198 127148 128212 140532 141708 172797 190722 192318 222509 224371 230396 345594 381444 384636 403193 445018 448742 667527 673113 691188 806386 890036 897484 1094381 1209579 1335054 1346226 1612772 2188762 2419158 2670108 2692452 2822351 3283143 4377524 4838316 5644702 6566286 7660667 8467053 11289404 13132572 15321334 16934106 22982001 30642668 33868212 45964002 53624669 91928004 107249338 160874007 214498676 321748014 643496028