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42411753 = 3217416761
BaseRepresentation
bin1010000111001…
…0011011101001
32221210201222200
42201302123221
541324134003
64113010413
71023331266
oct241623351
987721880
1042411753
1121a3863a
1212253a09
138a2c517
1458c026d
153acb6a3
hex28726e9

42411753 has 24 divisors (see below), whose sum is σ = 66456936. Its totient is φ = 25958400.

The previous prime is 42411727. The next prime is 42411757. The reversal of 42411753 is 35711424.

42411753 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 4 ways, for example, as 6985449 + 35426304 = 2643^2 + 5952^2 .

It is not a de Polignac number, because 42411753 - 213 = 42403561 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42411757) 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 23 ways as a sum of consecutive naturals, for example, 2893 + ... + 9653.

It is an arithmetic number, because the mean of its divisors is an integer number (2769039).

Almost surely, 242411753 is an apocalyptic number.

It is an amenable number.

42411753 is a deficient number, since it is larger than the sum of its proper divisors (24045183).

42411753 is a wasteful number, since it uses less digits than its factorization.

42411753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6825 (or 6822 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 42411753 is about 6512.4306522219. The cubic root of 42411753 is about 348.7348966366.

The spelling of 42411753 in words is "forty-two million, four hundred eleven thousand, seven hundred fifty-three".

Divisors: 1 3 9 17 41 51 123 153 369 697 2091 6273 6761 20283 60849 114937 277201 344811 831603 1034433 2494809 4712417 14137251 42411753