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42008505 = 3571137983
BaseRepresentation
bin1010000000111…
…1111110111001
32221001020211120
42200033332321
541223233010
64100215453
71020031530
oct240177671
987036746
1042008505
1121792680
121209a589
13891ab06
145817317
153a4be70
hex280ffb9

42008505 has 64 divisors (see below), whose sum is σ = 86151168. Its totient is φ = 16968960.

The previous prime is 42008497. The next prime is 42008537. The reversal of 42008505 is 50580024.

It is not a de Polignac number, because 42008505 - 23 = 42008497 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, 42244 + ... + 43226.

It is an arithmetic number, because the mean of its divisors is an integer number (1346112).

Almost surely, 242008505 is an apocalyptic number.

It is an amenable number.

42008505 is an abundant number, since it is smaller than the sum of its proper divisors (44142663).

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

42008505 is a wasteful number, since it uses less digits than its factorization.

42008505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046.

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 42008505 is about 6481.3968401881. The cubic root of 42008505 is about 347.6261260849.

Adding to 42008505 its reverse (50580024), we get a palindrome (92588529).

The spelling of 42008505 in words is "forty-two million, eight thousand, five hundred five".

Divisors: 1 3 5 7 11 15 21 33 35 37 55 77 105 111 165 185 231 259 385 407 555 777 983 1155 1221 1295 2035 2849 2949 3885 4915 6105 6881 8547 10813 14245 14745 20643 32439 34405 36371 42735 54065 75691 103215 109113 162195 181855 227073 254597 378455 400081 545565 763791 1135365 1200243 1272985 2000405 2800567 3818955 6001215 8401701 14002835 42008505