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42753309 = 3314310691
BaseRepresentation
bin1010001100010…
…1110100011101
32222110002111220
42203011310131
541421101214
64124203553
71026253134
oct243056435
988402456
1042753309
1122151215
12123995b9
138b1bb21
14596c91b
153b479a9
hex28c5d1d

42753309 has 16 divisors (see below), whose sum is σ = 60217344. Its totient is φ = 26938800.

The previous prime is 42753301. The next prime is 42753311. The reversal of 42753309 is 90335724.

It is a happy number.

42753309 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42753309 - 23 = 42753301 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 42753309.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42753301) 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 15 ways as a sum of consecutive naturals, for example, 1347 + ... + 9344.

It is an arithmetic number, because the mean of its divisors is an integer number (3763584).

Almost surely, 242753309 is an apocalyptic number.

It is an amenable number.

42753309 is a deficient number, since it is larger than the sum of its proper divisors (17464035).

42753309 is a wasteful number, since it uses less digits than its factorization.

42753309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10768.

The product of its (nonzero) digits is 22680, while the sum is 33.

The square root of 42753309 is about 6538.6014559690. The cubic root of 42753309 is about 349.6685542512.

The spelling of 42753309 in words is "forty-two million, seven hundred fifty-three thousand, three hundred nine".

Divisors: 1 3 31 43 93 129 1333 3999 10691 32073 331421 459713 994263 1379139 14251103 42753309