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42578305 = 573113761
BaseRepresentation
bin1010001001101…
…1000110000001
32222010012110021
42202123012001
541400001210
64120333441
71024624000
oct242330601
988105407
1042578305
1122041790
1212314281
138a8a283
145924c37
153b10bda
hex289b181

42578305 has 64 divisors (see below), whose sum is σ = 67852800. Its totient is φ = 25401600.

The previous prime is 42578279. The next prime is 42578317. The reversal of 42578305 is 50387524.

It is a happy number.

It is not a de Polignac number, because 42578305 - 25 = 42578273 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 697975 + ... + 698035.

It is an arithmetic number, because the mean of its divisors is an integer number (1060200).

Almost surely, 242578305 is an apocalyptic number.

It is an amenable number.

42578305 is a deficient number, since it is larger than the sum of its proper divisors (25274495).

42578305 is a wasteful number, since it uses less digits than its factorization.

42578305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 34.

The square root of 42578305 is about 6525.2053607530. The cubic root of 42578305 is about 349.1907972253.

The spelling of 42578305 in words is "forty-two million, five hundred seventy-eight thousand, three hundred five".

Divisors: 1 5 7 11 35 37 49 55 61 77 185 245 259 305 343 385 407 427 539 671 1295 1715 1813 2035 2135 2257 2695 2849 2989 3355 3773 4697 9065 11285 12691 14245 14945 15799 18865 19943 20923 23485 24827 32879 63455 78995 99715 104615 110593 124135 139601 164395 173789 230153 552965 698005 774151 868945 1150765 1216523 3870755 6082615 8515661 42578305