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42735079 = 414767331
BaseRepresentation
bin1010001100000…
…1010111100111
32222102011111201
42203001113213
541420010304
64123543331
71026146032
oct243012747
988364451
1042735079
1122139552
121238ab47
138b1373a
145966019
153b423a4
hex28c15e7

42735079 has 16 divisors (see below), whose sum is σ = 45513216. Its totient is φ = 40075200.

The previous prime is 42735061. The next prime is 42735083. The reversal of 42735079 is 97053724.

42735079 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 42735079 - 29 = 42734567 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42735089) 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, 128944 + ... + 129274.

It is an arithmetic number, because the mean of its divisors is an integer number (2844576).

Almost surely, 242735079 is an apocalyptic number.

42735079 is a deficient number, since it is larger than the sum of its proper divisors (2778137).

42735079 is a wasteful number, since it uses less digits than its factorization.

42735079 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486.

The product of its (nonzero) digits is 52920, while the sum is 37.

The square root of 42735079 is about 6537.2072783414. The cubic root of 42735079 is about 349.6188476583.

The spelling of 42735079 in words is "forty-two million, seven hundred thirty-five thousand, seventy-nine".

Divisors: 1 41 47 67 331 1927 2747 3149 13571 15557 22177 129109 637837 909257 1042319 42735079