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42424340 = 22571941389
BaseRepresentation
bin1010000111010…
…1100000010100
32221211101020212
42201311200110
541330034330
64113144552
71023413060
oct241654024
987741225
1042424340
1121a47042
121225b158
138a3517a
1458c4aa0
153ad0295
hex2875814

42424340 has 96 divisors (see below), whose sum is σ = 110073600. Its totient is φ = 13409280.

The previous prime is 42424331. The next prime is 42424357. The reversal of 42424340 is 4342424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108866 + ... + 109254.

It is an arithmetic number, because the mean of its divisors is an integer number (1146600).

Almost surely, 242424340 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 42424340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55036800).

42424340 is an abundant number, since it is smaller than the sum of its proper divisors (67649260).

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

42424340 is a wasteful number, since it uses less digits than its factorization.

42424340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 23.

The square root of 42424340 is about 6513.3969631829. The cubic root of 42424340 is about 348.7693925146.

Adding to 42424340 its reverse (4342424), we get a palindrome (46766764).

The spelling of 42424340 in words is "forty-two million, four hundred twenty-four thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 41 70 76 82 95 133 140 164 190 205 266 287 380 389 410 532 574 665 778 779 820 1148 1330 1435 1556 1558 1945 2660 2723 2870 3116 3890 3895 5446 5453 5740 7391 7780 7790 10892 10906 13615 14782 15580 15949 21812 27230 27265 29564 31898 36955 51737 54460 54530 63796 73910 79745 103474 109060 111643 147820 159490 206948 223286 258685 303031 318980 446572 517370 558215 606062 1034740 1116430 1212124 1515155 2121217 2232860 3030310 4242434 6060620 8484868 10606085 21212170 42424340