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42935761 = 1121720873
BaseRepresentation
bin1010001111001…
…0010111010001
32222210100210101
42203302113101
541442421021
64132132401
71030643101
oct243622721
988710711
1042935761
1122266300
1212467101
138b83b9b
1459b9201
153b81a91
hex28f25d1

42935761 has 12 divisors (see below), whose sum is σ = 49972356. Its totient is φ = 36734720.

The previous prime is 42935749. The next prime is 42935771. The reversal of 42935761 is 16753924.

42935761 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 23961025 + 18974736 = 4895^2 + 4356^2 .

It is not a de Polignac number, because 42935761 - 211 = 42933713 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 42935761.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42935701) 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, 8380 + ... + 12493.

It is an arithmetic number, because the mean of its divisors is an integer number (4164363).

Almost surely, 242935761 is an apocalyptic number.

It is an amenable number.

42935761 is a deficient number, since it is larger than the sum of its proper divisors (7036595).

42935761 is a wasteful number, since it uses less digits than its factorization.

42935761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20912 (or 20901 counting only the distinct ones).

The product of its digits is 45360, while the sum is 37.

The square root of 42935761 is about 6552.5385157205. The cubic root of 42935761 is about 350.1652580130.

The spelling of 42935761 in words is "forty-two million, nine hundred thirty-five thousand, seven hundred sixty-one".

Divisors: 1 11 17 121 187 2057 20873 229603 354841 2525633 3903251 42935761