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35868042 = 233794889
BaseRepresentation
bin1000100011010…
…0110110001010
32111111021201000
42020310312022
533140234132
63320435430
7613605360
oct210646612
974437630
1035868042
1119279211
1210018b76
13757abc2
144a99630
15323787c
hex2234d8a

35868042 has 32 divisors (see below), whose sum is σ = 91094400. Its totient is φ = 10247904.

The previous prime is 35868031. The next prime is 35868103. The reversal of 35868042 is 24086853.

It is a junction number, because it is equal to n+sod(n) for n = 35867988 and 35868006.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 47067 + ... + 47822.

It is an arithmetic number, because the mean of its divisors is an integer number (2846700).

Almost surely, 235868042 is an apocalyptic number.

35868042 is an abundant number, since it is smaller than the sum of its proper divisors (55226358).

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

35868042 is a wasteful number, since it uses less digits than its factorization.

35868042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94907 (or 94901 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 35868042 is about 5988.9934045714. The cubic root of 35868042 is about 329.7887904685.

It can be divided in two parts, 3586 and 8042, that added together give a triangular number (11628 = T152).

The spelling of 35868042 in words is "thirty-five million, eight hundred sixty-eight thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 94889 189778 284667 569334 664223 854001 1328446 1708002 1992669 2562003 3985338 5124006 5978007 11956014 17934021 35868042