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42985530 = 2325731271
BaseRepresentation
bin1010001111111…
…0100000111010
32222212220001200
42203332200322
542001014110
64133155030
71031241150
oct243764072
988786050
1042985530
112229a735
121248ba76
138ba0733
1459cd3d0
153b916c0
hex28fe83a

42985530 has 144 divisors (see below), whose sum is σ = 133840512. Its totient is φ = 9374400.

The previous prime is 42985529. The next prime is 42985549. The reversal of 42985530 is 3558924.

42985530 is a `hidden beast` number, since 42 + 9 + 85 + 530 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 605395 + ... + 605465.

It is an arithmetic number, because the mean of its divisors is an integer number (929448).

Almost surely, 242985530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42985530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66920256).

42985530 is an abundant number, since it is smaller than the sum of its proper divisors (90854982).

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

42985530 is a wasteful number, since it uses less digits than its factorization.

42985530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 42985530 is about 6556.3351043094. The cubic root of 42985530 is about 350.3005038236.

The spelling of 42985530 in words is "forty-two million, nine hundred eighty-five thousand, five hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 31 35 42 45 62 63 70 71 90 93 105 126 142 155 186 210 213 217 279 310 315 355 426 434 465 497 558 630 639 651 710 930 961 994 1065 1085 1278 1302 1395 1491 1922 1953 2130 2170 2201 2485 2790 2883 2982 3195 3255 3906 4402 4473 4805 4970 5766 6390 6510 6603 6727 7455 8649 8946 9610 9765 11005 13206 13454 14415 14910 15407 17298 19530 19809 20181 22010 22365 28830 30814 33015 33635 39618 40362 43245 44730 46221 60543 66030 67270 68231 77035 86490 92442 99045 100905 121086 136462 138663 154070 198090 201810 204693 231105 277326 302715 341155 409386 462210 477617 605430 614079 682310 693315 955234 1023465 1228158 1386630 1432851 2046930 2388085 2865702 3070395 4298553 4776170 6140790 7164255 8597106 14328510 21492765 42985530