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35385042 = 23711191401
BaseRepresentation
bin1000011011111…
…0111011010010
32110120202011010
42012332323102
533024310132
63302231350
7606524250
oct206767322
973522133
1035385042
1118a79340
12ba25556
13743c0c4
1449b15d0
15318e6cc
hex21beed2

35385042 has 64 divisors (see below), whose sum is σ = 88915968. Its totient is φ = 9120000.

The previous prime is 35385037. The next prime is 35385083. The reversal of 35385042 is 24058353.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88042 + ... + 88442.

It is an arithmetic number, because the mean of its divisors is an integer number (1389312).

Almost surely, 235385042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35385042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44457984).

35385042 is an abundant number, since it is smaller than the sum of its proper divisors (53530926).

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

35385042 is a wasteful number, since it uses less digits than its factorization.

35385042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615.

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 35385042 is about 5948.5327602695. The cubic root of 35385042 is about 328.3017808039.

The spelling of 35385042 in words is "thirty-five million, three hundred eighty-five thousand, forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 191 231 382 401 462 573 802 1146 1203 1337 2101 2406 2674 2807 4011 4202 4411 5614 6303 8022 8421 8822 12606 13233 14707 16842 26466 29414 30877 44121 61754 76591 88242 92631 153182 185262 229773 459546 536137 842501 1072274 1608411 1685002 2527503 3216822 5055006 5897507 11795014 17692521 35385042