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42838929 = 3371767199
BaseRepresentation
bin1010001101101…
…0101110010001
32222121102222000
42203122232101
541431321204
64130104213
71030060560
oct243325621
988542860
1042838929
11221aa581
121241b069
138b4baa3
145991bd7
153b63039
hex28dab91

42838929 has 64 divisors (see below), whose sum is σ = 78336000. Its totient is φ = 22581504.

The previous prime is 42838921. The next prime is 42838951. The reversal of 42838929 is 92983824.

42838929 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42838929 - 23 = 42838921 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42838921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 215172 + ... + 215370.

It is an arithmetic number, because the mean of its divisors is an integer number (1224000).

Almost surely, 242838929 is an apocalyptic number.

It is an amenable number.

42838929 is a deficient number, since it is larger than the sum of its proper divisors (35497071).

42838929 is a wasteful number, since it uses less digits than its factorization.

42838929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 293 counting only the distinct ones).

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

The square root of 42838929 is about 6545.1454529292. The cubic root of 42838929 is about 349.9018200808.

The spelling of 42838929 in words is "forty-two million, eight hundred thirty-eight thousand, nine hundred twenty-nine".

Divisors: 1 3 7 9 17 21 27 51 63 67 119 153 189 199 201 357 459 469 597 603 1071 1139 1393 1407 1791 1809 3213 3383 3417 4179 4221 5373 7973 10149 10251 12537 12663 13333 23681 23919 30447 30753 37611 39999 71043 71757 91341 93331 119997 213129 215271 226661 279993 359991 639387 679983 839979 1586627 2039949 2519937 4759881 6119847 14279643 42838929