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42744249 = 326737057
BaseRepresentation
bin1010001100001…
…1100110111001
32222102122002100
42203003212321
541420303444
64124054013
71026214542
oct243034671
988378070
1042744249
1122145429
1212394309
138b17972
1459694c9
153b44e69
hex28c39b9

42744249 has 12 divisors (see below), whose sum is σ = 61842196. Its totient is φ = 28449792.

The previous prime is 42744227. The next prime is 42744271. The reversal of 42744249 is 94244724.

42744249 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42744227) and next prime (42744271).

It can be written as a sum of positive squares in 2 ways, for example, as 33177600 + 9566649 = 5760^2 + 3093^2 .

It is not a de Polignac number, because 42744249 - 25 = 42744217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42744209) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2529 + ... + 9585.

Almost surely, 242744249 is an apocalyptic number.

It is an amenable number.

42744249 is a deficient number, since it is larger than the sum of its proper divisors (19097947).

42744249 is a wasteful number, since it uses less digits than its factorization.

42744249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7736 (or 7733 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 42744249 is about 6537.9086105574. The cubic root of 42744249 is about 349.6438526863.

The spelling of 42744249 in words is "forty-two million, seven hundred forty-four thousand, two hundred forty-nine".

Divisors: 1 3 9 673 2019 6057 7057 21171 63513 4749361 14248083 42744249