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42427845 = 3259712
BaseRepresentation
bin1010000111011…
…0010111000101
32221211120001200
42201312113011
541330142340
64113213113
71023426225
oct241662705
987746050
1042427845
1121a49739
1212261199
138a36945
1458c6085
153ad1330
hex28765c5

42427845 has 18 divisors (see below), whose sum is σ = 73617414. Its totient is φ = 22604880.

The previous prime is 42427843. The next prime is 42427849. The reversal of 42427845 is 54872424.

42427845 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 only one way, i.e., 33942276 + 8485569 = 5826^2 + 2913^2 .

It is not a de Polignac number, because 42427845 - 21 = 42427843 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42427843) 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 17 ways as a sum of consecutive naturals, for example, 43210 + ... + 44180.

Almost surely, 242427845 is an apocalyptic number.

42427845 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42427845 is a deficient number, since it is larger than the sum of its proper divisors (31189569).

42427845 is an frugal number, since it uses more digits than its factorization.

42427845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1953 (or 979 counting only the distinct ones).

The product of its digits is 71680, while the sum is 36.

The square root of 42427845 is about 6513.6660184569. Note that the first 3 decimals coincide. The cubic root of 42427845 is about 348.7789970879.

The spelling of 42427845 in words is "forty-two million, four hundred twenty-seven thousand, eight hundred forty-five".

Divisors: 1 3 5 9 15 45 971 2913 4855 8739 14565 43695 942841 2828523 4714205 8485569 14142615 42427845