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642363904 = 2971317811
BaseRepresentation
bin100110010010011…
…011001000000000
31122202201110121201
4212102123020000
52303421121104
6143424030544
721630001030
oct4622331000
91582643551
10642363904
112aa663566
1215b162454
13a310c3b0
14614538c0
153b5da0a4
hex2649b200

642363904 has 160 divisors (see below), whose sum is σ = 1674642816. Its totient is φ = 238878720.

The previous prime is 642363901. The next prime is 642363937. The reversal of 642363904 is 409363246.

It is not an unprimeable number, because it can be changed into a prime (642363901) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 791659 + ... + 792469.

Almost surely, 2642363904 is an apocalyptic number.

642363904 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642363904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837321408).

642363904 is an abundant number, since it is smaller than the sum of its proper divisors (1032278912).

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

642363904 is a wasteful number, since it uses less digits than its factorization.

642363904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 37.

The square root of 642363904 is about 25344.8989739553. The cubic root of 642363904 is about 862.8335883600.

The spelling of 642363904 in words is "six hundred forty-two million, three hundred sixty-three thousand, nine hundred four".

Divisors: 1 2 4 7 8 13 14 16 17 26 28 32 34 52 56 64 68 91 104 112 119 128 136 182 208 221 224 238 256 272 364 416 442 448 476 512 544 728 811 832 884 896 952 1088 1456 1547 1622 1664 1768 1792 1904 2176 2912 3094 3244 3328 3536 3584 3808 4352 5677 5824 6188 6488 6656 7072 7616 8704 10543 11354 11648 12376 12976 13787 14144 15232 21086 22708 23296 24752 25952 27574 28288 30464 42172 45416 46592 49504 51904 55148 56576 60928 73801 84344 90832 96509 99008 103808 110296 113152 147602 168688 179231 181664 193018 198016 207616 220592 295204 337376 358462 363328 386036 396032 415232 441184 590408 674752 716924 726656 772072 792064 882368 1180816 1254617 1349504 1433848 1453312 1544144 1764736 2361632 2509234 2699008 2867696 2906624 3088288 3529472 4723264 5018468 5398016 5735392 6176576 7058944 9446528 10036936 11470784 12353152 18893056 20073872 22941568 24706304 37786112 40147744 45883136 49412608 80295488 91766272 160590976 321181952 642363904