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42208236 = 22337311801
BaseRepresentation
bin1010000100000…
…0101111101100
32221102101211000
42201000233230
541301130421
64104400300
71021523040
oct241005754
987371730
1042208236
1121909744
1212176090
13898a9b5
14586a020
153a8b226
hex2840bec

42208236 has 96 divisors (see below), whose sum is σ = 129167360. Its totient is φ = 11664000.

The previous prime is 42208219. The next prime is 42208237. The reversal of 42208236 is 63280224.

42208236 is a `hidden beast` number, since 422 + 0 + 8 + 236 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (42208237) 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 31 ways as a sum of consecutive naturals, for example, 22536 + ... + 24336.

Almost surely, 242208236 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42208236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64583680).

42208236 is an abundant number, since it is smaller than the sum of its proper divisors (86959124).

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

42208236 is a wasteful number, since it uses less digits than its factorization.

42208236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1852 (or 1844 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 42208236 is about 6496.7865903075. The cubic root of 42208236 is about 348.1761890223.

The spelling of 42208236 in words is "forty-two million, two hundred eight thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 31 36 42 54 62 63 84 93 108 124 126 186 189 217 252 279 372 378 434 558 651 756 837 868 1116 1302 1674 1801 1953 2604 3348 3602 3906 5403 5859 7204 7812 10806 11718 12607 16209 21612 23436 25214 32418 37821 48627 50428 55831 64836 75642 97254 111662 113463 151284 167493 194508 223324 226926 334986 340389 390817 453852 502479 669972 680778 781634 1004958 1172451 1361556 1507437 1563268 2009916 2344902 3014874 3517353 4689804 6029748 7034706 10552059 14069412 21104118 42208236