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42004212 = 223171910837
BaseRepresentation
bin1010000000111…
…0111011110100
32221001000221120
42200032323310
541223113322
64100143540
71020013155
oct240167364
987030846
1042004212
112178a428
1212097bb0
138918b83
14581592c
153a4aa5c
hex280eef4

42004212 has 48 divisors (see below), whose sum is σ = 109247040. Its totient is φ = 12483072.

The previous prime is 42004211. The next prime is 42004219. The reversal of 42004212 is 21240024.

42004212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 42004191 and 42004200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42004211) 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 15 ways as a sum of consecutive naturals, for example, 1543 + ... + 9294.

It is an arithmetic number, because the mean of its divisors is an integer number (2275980).

Almost surely, 242004212 is an apocalyptic number.

It is an amenable number.

42004212 is an abundant number, since it is smaller than the sum of its proper divisors (67242828).

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

42004212 is a wasteful number, since it uses less digits than its factorization.

42004212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10880 (or 10878 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 42004212 is about 6481.0656531160. The cubic root of 42004212 is about 347.6142839607.

Adding to 42004212 its reverse (21240024), we get a palindrome (63244236).

The spelling of 42004212 in words is "forty-two million, four thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 17 19 34 38 51 57 68 76 102 114 204 228 323 646 969 1292 1938 3876 10837 21674 32511 43348 65022 130044 184229 205903 368458 411806 552687 617709 736916 823612 1105374 1235418 2210748 2470836 3500351 7000702 10501053 14001404 21002106 42004212