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42829839 = 3213229971
BaseRepresentation
bin1010001101100…
…0100000001111
32222120222111100
42203120200033
541431023324
64125554143
71030022223
oct243304017
988528440
1042829839
11221a3768
1212415953
138b47900
14598c783
153b604c9
hex28d880f

42829839 has 36 divisors (see below), whose sum is σ = 69371640. Its totient is φ = 25421760.

The previous prime is 42829823. The next prime is 42829907. The reversal of 42829839 is 93892824.

It is not a de Polignac number, because 42829839 - 24 = 42829823 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42829794 and 42829803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42829939) 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 35 ways as a sum of consecutive naturals, for example, 43624 + ... + 44594.

It is an arithmetic number, because the mean of its divisors is an integer number (1926990).

Almost surely, 242829839 is an apocalyptic number.

42829839 is a deficient number, since it is larger than the sum of its proper divisors (26541801).

42829839 is a wasteful number, since it uses less digits than its factorization.

42829839 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032 (or 1016 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 42829839 is about 6544.4510082970. The cubic root of 42829839 is about 349.8770697535.

The spelling of 42829839 in words is "forty-two million, eight hundred twenty-nine thousand, eight hundred thirty-nine".

Divisors: 1 3 9 13 29 39 87 117 169 261 377 507 971 1131 1521 2913 3393 4901 8739 12623 14703 28159 37869 44109 84477 113607 164099 253431 366067 492297 1098201 1476891 3294603 4758871 14276613 42829839