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42456205 = 5113137673
BaseRepresentation
bin1010000111110…
…1010010001101
32221212222222001
42201331102031
541332044310
64113552301
71023605011
oct241752215
987788861
1042456205
1121a68a80
1212275691
138a4681c
1458d2541
153ad993a
hex287d48d

42456205 has 32 divisors (see below), whose sum is σ = 59010048. Its totient is φ = 29030400.

The previous prime is 42456187. The next prime is 42456251. The reversal of 42456205 is 50265424.

42456205 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 42456205 - 217 = 42325133 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 62749 + ... + 63421.

It is an arithmetic number, because the mean of its divisors is an integer number (1844064).

Almost surely, 242456205 is an apocalyptic number.

It is an amenable number.

42456205 is a deficient number, since it is larger than the sum of its proper divisors (16553843).

42456205 is a wasteful number, since it uses less digits than its factorization.

42456205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757.

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 42456205 is about 6515.8426162700. The cubic root of 42456205 is about 348.8566911061.

The spelling of 42456205 in words is "forty-two million, four hundred fifty-six thousand, two hundred five".

Divisors: 1 5 11 31 37 55 155 185 341 407 673 1147 1705 2035 3365 5735 7403 12617 20863 24901 37015 63085 104315 124505 229493 273911 771931 1147465 1369555 3859655 8491241 42456205