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42864045 = 357408229
BaseRepresentation
bin1010001110000…
…0110110101101
32222122201102020
42203200312231
541433122140
64130420353
71030224030
oct243406655
988581366
1042864045
1122217434
12124316b9
138b5a353
14599b017
153b6a6d0
hex28e0dad

42864045 has 16 divisors (see below), whose sum is σ = 78380160. Its totient is φ = 19594944.

The previous prime is 42864011. The next prime is 42864053. The reversal of 42864045 is 54046824.

42864045 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42864045 - 211 = 42861997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42863997 and 42864015.

It is a congruent number.

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, 204010 + ... + 204219.

It is an arithmetic number, because the mean of its divisors is an integer number (4898760).

Almost surely, 242864045 is an apocalyptic number.

It is an amenable number.

42864045 is a deficient number, since it is larger than the sum of its proper divisors (35516115).

42864045 is a wasteful number, since it uses less digits than its factorization.

42864045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408244.

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 42864045 is about 6547.0638457250. The cubic root of 42864045 is about 349.9701879370.

The spelling of 42864045 in words is "forty-two million, eight hundred sixty-four thousand, forty-five".

Divisors: 1 3 5 7 15 21 35 105 408229 1224687 2041145 2857603 6123435 8572809 14288015 42864045