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42308784 = 2433717823
BaseRepresentation
bin1010000101100…
…1010010110000
32221121111202000
42201121102300
541312340114
64110454000
71022422140
oct241312260
987544660
1042308784
1121978241
1212204300
1389c46ab
145894920
153aaae09
hex28594b0

42308784 has 160 divisors (see below), whose sum is σ = 147133440. Its totient is φ = 11363328.

The previous prime is 42308779. The next prime is 42308803. The reversal of 42308784 is 48780324.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 50997 + ... + 51819.

It is an arithmetic number, because the mean of its divisors is an integer number (919584).

Almost surely, 242308784 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 42308784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73566720).

42308784 is an abundant number, since it is smaller than the sum of its proper divisors (104824656).

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

42308784 is a wasteful number, since it uses less digits than its factorization.

42308784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 42308784 is about 6504.5202743938. The cubic root of 42308784 is about 348.4524436163.

The spelling of 42308784 in words is "forty-two million, three hundred eight thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 27 28 34 36 42 48 51 54 56 63 68 72 84 102 108 112 119 126 136 144 153 168 189 204 216 238 252 272 306 336 357 378 408 432 459 476 504 612 714 756 816 823 918 952 1008 1071 1224 1428 1512 1646 1836 1904 2142 2448 2469 2856 3024 3213 3292 3672 4284 4938 5712 5761 6426 6584 7344 7407 8568 9876 11522 12852 13168 13991 14814 17136 17283 19752 22221 23044 25704 27982 29628 34566 39504 41973 44442 46088 51408 51849 55964 59256 69132 83946 88884 92176 97937 103698 111928 118512 125919 138264 155547 167892 177768 195874 207396 223856 251838 276528 293811 311094 335784 355536 377757 391748 414792 503676 587622 622188 671568 755514 783496 829584 881433 1007352 1175244 1244376 1511028 1566992 1762866 2014704 2350488 2488752 2644299 3022056 3525732 4700976 5288598 6044112 7051464 10577196 14102928 21154392 42308784