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42905527 = 73671867
BaseRepresentation
bin1010001110101…
…0111110110111
32222201211022121
42203222332313
541440434102
64131340411
71030456000
oct243527667
988654277
1042905527
1122245615
1212451707
138b731b2
1459ac1a7
153b77b37
hex28eafb7

42905527 has 16 divisors (see below), whose sum is σ = 50809600. Its totient is φ = 36207864.

The previous prime is 42905503. The next prime is 42905539. The reversal of 42905527 is 72550924.

It is a de Polignac number, because none of the positive numbers 2k-42905527 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 42905492 and 42905501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42905227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22048 + ... + 23914.

It is an arithmetic number, because the mean of its divisors is an integer number (3175600).

Almost surely, 242905527 is an apocalyptic number.

42905527 is a deficient number, since it is larger than the sum of its proper divisors (7904073).

42905527 is an equidigital number, since it uses as much as digits as its factorization.

42905527 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1955 (or 1941 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

The square root of 42905527 is about 6550.2310646267. The cubic root of 42905527 is about 350.0830469600.

The spelling of 42905527 in words is "forty-two million, nine hundred five thousand, five hundred twenty-seven".

Divisors: 1 7 49 67 343 469 1867 3283 13069 22981 91483 125089 640381 875623 6129361 42905527