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42582906 = 23215115667
BaseRepresentation
bin1010001001110…
…0001101111010
32222010102202200
42202130031322
541400123111
64120411030
71024643262
oct242341572
988112680
1042582906
1122045193
1212316a76
138a8c3b2
1459267a2
153b12256
hex289c37a

42582906 has 24 divisors (see below), whose sum is σ = 92879904. Its totient is φ = 14099400.

The previous prime is 42582863. The next prime is 42582907. The reversal of 42582906 is 60928524.

It is a happy number.

42582906 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 5116 + ... + 10551.

It is an arithmetic number, because the mean of its divisors is an integer number (3869996).

Almost surely, 242582906 is an apocalyptic number.

42582906 is an abundant number, since it is smaller than the sum of its proper divisors (50296998).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42582906 is a wasteful number, since it uses less digits than its factorization.

42582906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15826 (or 15823 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 42582906 is about 6525.5579071831. The cubic root of 42582906 is about 349.2033745929.

The spelling of 42582906 in words is "forty-two million, five hundred eighty-two thousand, nine hundred six".

Divisors: 1 2 3 6 9 18 151 302 453 906 1359 2718 15667 31334 47001 94002 141003 282006 2365717 4731434 7097151 14194302 21291453 42582906