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42523785 = 355311129
BaseRepresentation
bin1010001000110…
…1110010001001
32222000102200000
42202031302021
541341230120
64115233213
71024306023
oct242156211
988012600
1042523785
1122004827
12122a8809
138a6b505
14590d013
153aee990
hex288dc89

42523785 has 48 divisors (see below), whose sum is σ = 78973440. Its totient is φ = 21928320.

The previous prime is 42523781. The next prime is 42523799. The reversal of 42523785 is 58732524.

It is not a de Polignac number, because 42523785 - 22 = 42523781 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42523781) 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 47 ways as a sum of consecutive naturals, for example, 37101 + ... + 38229.

It is an arithmetic number, because the mean of its divisors is an integer number (1645280).

Almost surely, 242523785 is an apocalyptic number.

42523785 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42523785 is a deficient number, since it is larger than the sum of its proper divisors (36449655).

42523785 is a wasteful number, since it uses less digits than its factorization.

42523785 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180 (or 1168 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 42523785 is about 6521.0263762693. The cubic root of 42523785 is about 349.0416914477.

The spelling of 42523785 in words is "forty-two million, five hundred twenty-three thousand, seven hundred eighty-five".

Divisors: 1 3 5 9 15 27 31 45 81 93 135 155 243 279 405 465 837 1129 1215 1395 2511 3387 4185 5645 7533 10161 12555 16935 30483 34999 37665 50805 91449 104997 152415 174995 274347 314991 457245 524985 944973 1371735 1574955 2834919 4724865 8504757 14174595 42523785