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42505757 = 7127137349
BaseRepresentation
bin1010001000100…
…1011000011101
32221222111221022
42202021120131
541340141012
64115013525
71024202330
oct242113035
987874838
1042505757
1121aa2228
121229a2a5
138a63248
145906617
153ae9472
hex288961d

42505757 has 16 divisors (see below), whose sum is σ = 49459200. Its totient is φ = 35779968.

The previous prime is 42505733. The next prime is 42505759. The reversal of 42505757 is 75750524.

It is a happy number.

It is not a de Polignac number, because 42505757 - 28 = 42505501 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42505759) 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 15 ways as a sum of consecutive naturals, for example, 121619 + ... + 121967.

It is an arithmetic number, because the mean of its divisors is an integer number (3091200).

Almost surely, 242505757 is an apocalyptic number.

It is an amenable number.

42505757 is a deficient number, since it is larger than the sum of its proper divisors (6953443).

42505757 is a wasteful number, since it uses less digits than its factorization.

42505757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620.

The product of its (nonzero) digits is 49000, while the sum is 35.

The square root of 42505757 is about 6519.6439319951. The cubic root of 42505757 is about 348.9923589540.

The spelling of 42505757 in words is "forty-two million, five hundred five thousand, seven hundred fifty-seven".

Divisors: 1 7 127 137 349 889 959 2443 17399 44323 47813 121793 310261 334691 6072251 42505757