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42582987 = 3247100669
BaseRepresentation
bin1010001001110…
…0001111001011
32222010102212200
42202130033023
541400123422
64120411243
71024643436
oct242341713
988112780
1042582987
1122045257
1212316b23
138a8c445
14592681d
153b122ac
hex289c3cb

42582987 has 12 divisors (see below), whose sum is σ = 62818080. Its totient is φ = 27784368.

The previous prime is 42582961. The next prime is 42582997. The reversal of 42582987 is 78928524.

42582987 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 42582987 - 26 = 42582923 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42582907) 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, 49912 + ... + 50757.

It is an arithmetic number, because the mean of its divisors is an integer number (5234840).

Almost surely, 242582987 is an apocalyptic number.

42582987 is a gapful number since it is divisible by the number (47) formed by its first and last digit.

42582987 is a deficient number, since it is larger than the sum of its proper divisors (20235093).

42582987 is a wasteful number, since it uses less digits than its factorization.

42582987 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100722 (or 100719 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 42582987 is about 6525.5641135460. The cubic root of 42582987 is about 349.2035960077.

The spelling of 42582987 in words is "forty-two million, five hundred eighty-two thousand, nine hundred eighty-seven".

Divisors: 1 3 9 47 141 423 100669 302007 906021 4731443 14194329 42582987