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4142729826 = 233312474749
BaseRepresentation
bin1111011011101101…
…0000101001100010
3101200201021110222000
43312323100221202
531441014323301
61523025024430
7204442423344
oct36673205142
911621243860
104142729826
111836510264
12977485116
13510376431
142b42a9294
15193a6a786
hexf6ed0a62

4142729826 has 32 divisors (see below), whose sum is σ = 9503040000. Its totient is φ = 1336363920.

The previous prime is 4142729821. The next prime is 4142729849. The reversal of 4142729826 is 6289272414.

It is a super-2 number, since 2×41427298262 = 34324420822459980552, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4142729821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1235701 + ... + 1239048.

It is an arithmetic number, because the mean of its divisors is an integer number (296970000).

Almost surely, 24142729826 is an apocalyptic number.

4142729826 is an abundant number, since it is smaller than the sum of its proper divisors (5360310174).

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

4142729826 is a wasteful number, since it uses less digits than its factorization.

4142729826 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2474791 (or 2474785 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 4142729826 is about 64364.0414051200. The cubic root of 4142729826 is about 1606.0616192426.

It can be divided in two parts, 41427 and 29826, that added together give a triangular number (71253 = T377).

The spelling of 4142729826 in words is "four billion, one hundred forty-two million, seven hundred twenty-nine thousand, eight hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 279 558 837 1674 2474749 4949498 7424247 14848494 22272741 44545482 66818223 76717219 133636446 153434438 230151657 460303314 690454971 1380909942 2071364913 4142729826