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36078042 = 23711136007
BaseRepresentation
bin1000100110100…
…0000111011010
32111212221202210
42021220013122
533213444132
63325135550
7615441540
oct211500732
974787683
1036078042
1119401a70
12100ba5b6
137622670
144b11d90
153279bcc
hex22681da

36078042 has 64 divisors (see below), whose sum is σ = 96897024. Its totient is φ = 8648640.

The previous prime is 36078037. The next prime is 36078043. The reversal of 36078042 is 24087063.

It is a super-2 number, since 2×360780422 = 2603250229107528, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (36078043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3003 + ... + 9009.

It is an arithmetic number, because the mean of its divisors is an integer number (1514016).

Almost surely, 236078042 is an apocalyptic number.

It is a pronic number, being equal to 6006×6007.

It is a practical number, because each smaller number is the sum of distinct divisors of 36078042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48448512).

36078042 is an abundant number, since it is smaller than the sum of its proper divisors (60818982).

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

36078042 is a wasteful number, since it uses less digits than its factorization.

36078042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6043.

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 36078042 is about 6006.4999791892. The cubic root of 36078042 is about 330.4311536129.

The spelling of 36078042 in words is "thirty-six million, seventy-eight thousand, forty-two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 182 231 273 286 429 462 546 858 1001 2002 3003 6006 6007 12014 18021 36042 42049 66077 78091 84098 126147 132154 156182 198231 234273 252294 396462 462539 468546 546637 859001 925078 1093274 1387617 1639911 1718002 2577003 2775234 3279822 5154006 6013007 12026014 18039021 36078042