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42788505 = 357140177
BaseRepresentation
bin1010001100111…
…0011010011001
32222111212210110
42203032122121
541423213010
64125034533
71026460554
oct243163231
988455713
1042788505
1122175701
12123b5a49
138b31b56
14597b69b
153b53120
hex28ce699

42788505 has 16 divisors (see below), whose sum is σ = 69427584. Its totient is φ = 22498560.

The previous prime is 42788491. The next prime is 42788519. The reversal of 42788505 is 50588724.

42788505 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42788491) and next prime (42788519).

It is not a de Polignac number, because 42788505 - 24 = 42788489 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19024 + ... + 21153.

It is an arithmetic number, because the mean of its divisors is an integer number (4339224).

Almost surely, 242788505 is an apocalyptic number.

It is an amenable number.

42788505 is a deficient number, since it is larger than the sum of its proper divisors (26639079).

42788505 is a wasteful number, since it uses less digits than its factorization.

42788505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40256.

The product of its (nonzero) digits is 89600, while the sum is 39.

The square root of 42788505 is about 6541.2923035131. The cubic root of 42788505 is about 349.7644810079.

The spelling of 42788505 in words is "forty-two million, seven hundred eighty-eight thousand, five hundred five".

Divisors: 1 3 5 15 71 213 355 1065 40177 120531 200885 602655 2852567 8557701 14262835 42788505