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42906249 = 32171731621
BaseRepresentation
bin1010001110101…
…1001010001001
32222201212022100
42203223022021
541440444444
64131344013
71030461051
oct243531211
988655270
1042906249
1122246111
1212452009
138b73619
1459ac561
153b77e69
hex28eb289

42906249 has 24 divisors (see below), whose sum is σ = 66041352. Its totient is φ = 26749440.

The previous prime is 42906239. The next prime is 42906257. The reversal of 42906249 is 94260924.

42906249 is a `hidden beast` number, since 4 + 29 + 0 + 624 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 27248400 + 15657849 = 5220^2 + 3957^2 .

It is not a de Polignac number, because 42906249 - 24 = 42906233 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (42906209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25659 + ... + 27279.

It is an arithmetic number, because the mean of its divisors is an integer number (2751723).

Almost surely, 242906249 is an apocalyptic number.

It is an amenable number.

42906249 is a deficient number, since it is larger than the sum of its proper divisors (23135103).

42906249 is a wasteful number, since it uses less digits than its factorization.

42906249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1817 (or 1814 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 42906249 is about 6550.2861769544. The cubic root of 42906249 is about 350.0850106428.

The spelling of 42906249 in words is "forty-two million, nine hundred six thousand, two hundred forty-nine".

Divisors: 1 3 9 17 51 153 173 519 1557 1621 2941 4863 8823 14589 26469 27557 82671 248013 280433 841299 2523897 4767361 14302083 42906249