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35141742 = 233976709
BaseRepresentation
bin1000011000001…
…1100001101110
32110010101102000
42012003201232
532444013432
63253113130
7604462026
oct206034156
973111360
1035141742
1118922569
12b9287a6
13738543c
14494aa86
15314257c
hex218386e

35141742 has 32 divisors (see below), whose sum is σ = 78909600. Its totient is φ = 11591424.

The previous prime is 35141741. The next prime is 35141753. The reversal of 35141742 is 24714153.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35141741) 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 15 ways as a sum of consecutive naturals, for example, 1884 + ... + 8592.

It is an arithmetic number, because the mean of its divisors is an integer number (2465925).

Almost surely, 235141742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35141742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39454800).

35141742 is an abundant number, since it is smaller than the sum of its proper divisors (43767858).

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

35141742 is a wasteful number, since it uses less digits than its factorization.

35141742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6817 (or 6811 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 35141742 is about 5928.0470645905. The cubic root of 35141742 is about 327.5476053013.

Adding to 35141742 its reverse (24714153), we get a palindrome (59855895).

The spelling of 35141742 in words is "thirty-five million, one hundred forty-one thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 97 194 291 582 873 1746 2619 5238 6709 13418 20127 40254 60381 120762 181143 362286 650773 1301546 1952319 3904638 5856957 11713914 17570871 35141742