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42883085 = 5721011733
BaseRepresentation
bin1010001110010…
…1100000001101
32222200200112102
42203211200031
541434224320
64131044445
71030333400
oct243454015
988620472
1042883085
112222a773
1212440725
138b65c0b
1459a3d37
153b71175
hex28e580d

42883085 has 24 divisors (see below), whose sum is σ = 60488856. Its totient is φ = 29097600.

The previous prime is 42883081. The next prime is 42883091. The reversal of 42883085 is 58038824.

It can be written as a sum of positive squares in 4 ways, for example, as 13147876 + 29735209 = 3626^2 + 5453^2 .

It is not a de Polignac number, because 42883085 - 22 = 42883081 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42883081) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 23879 + ... + 25611.

It is an arithmetic number, because the mean of its divisors is an integer number (2520369).

Almost surely, 242883085 is an apocalyptic number.

It is an amenable number.

42883085 is a deficient number, since it is larger than the sum of its proper divisors (17605771).

42883085 is a wasteful number, since it uses less digits than its factorization.

42883085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1853 (or 1846 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 38.

The square root of 42883085 is about 6548.5177712212. The cubic root of 42883085 is about 350.0219986173.

The spelling of 42883085 in words is "forty-two million, eight hundred eighty-three thousand, eighty-five".

Divisors: 1 5 7 35 49 101 245 505 707 1733 3535 4949 8665 12131 24745 60655 84917 175033 424585 875165 1225231 6126155 8576617 42883085