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4242282 = 23111719199
BaseRepresentation
bin10000001011101101101010
321222112022120
4100023231222
52041223112
6230532110
751026112
oct20135552
97875276
104242282
112438320
121507036
13b56c35
147c6042
1558be8c
hex40bb6a

4242282 has 64 divisors (see below), whose sum is σ = 10368000. Its totient is φ = 1140480.

The previous prime is 4242269. The next prime is 4242283. The reversal of 4242282 is 2822424.

It is not an unprimeable number, because it can be changed into a prime (4242283) 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, 21219 + ... + 21417.

It is an arithmetic number, because the mean of its divisors is an integer number (162000).

Almost surely, 24242282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4242282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5184000).

4242282 is an abundant number, since it is smaller than the sum of its proper divisors (6125718).

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

4242282 is a wasteful number, since it uses less digits than its factorization.

4242282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251.

The product of its digits is 2048, while the sum is 24.

The square root of 4242282 is about 2059.6800722442. The cubic root of 4242282 is about 161.8824783991.

It can be divided in two parts, 42 and 42282, that added together give a palindrome (42324).

The spelling of 4242282 in words is "four million, two hundred forty-two thousand, two hundred eighty-two".

Divisors: 1 2 3 6 11 17 19 22 33 34 38 51 57 66 102 114 187 199 209 323 374 398 418 561 597 627 646 969 1122 1194 1254 1938 2189 3383 3553 3781 4378 6567 6766 7106 7562 10149 10659 11343 13134 20298 21318 22686 37213 41591 64277 74426 83182 111639 124773 128554 192831 223278 249546 385662 707047 1414094 2121141 4242282