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42505164 = 22321390823
BaseRepresentation
bin1010001000100…
…1001111001100
32221222111010100
42202021033030
541340131124
64115011100
71024200522
oct242111714
987874110
1042505164
1121aa1839
1212299a90
138a62bb0
145906312
153ae91c9
hex28893cc

42505164 has 36 divisors (see below), whose sum is σ = 115709776. Its totient is φ = 13078368.

The previous prime is 42505159. The next prime is 42505171. The reversal of 42505164 is 46150524.

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44944 + ... + 45879.

Almost surely, 242505164 is an apocalyptic number.

It is an amenable number.

42505164 is an abundant number, since it is smaller than the sum of its proper divisors (73204612).

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

42505164 is a wasteful number, since it uses less digits than its factorization.

42505164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90846 (or 90841 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 42505164 is about 6519.5984538927. The cubic root of 42505164 is about 348.9907360097.

Adding to 42505164 its reverse (46150524), we get a palindrome (88655688).

The spelling of 42505164 in words is "forty-two million, five hundred five thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 90823 181646 272469 363292 544938 817407 1089876 1180699 1634814 2361398 3269628 3542097 4722796 7084194 10626291 14168388 21252582 42505164