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68522586 = 231131107313
BaseRepresentation
bin1000001010110…
…01001001011010
311202221022022120
410011121021122
5120020210321
610444402110
71461301206
oct405311132
9152838276
1068522586
1135752040
121ab46336
1311272212
149159b06
156037ec6
hex415925a

68522586 has 64 divisors (see below), whose sum is σ = 156266496. Its totient is φ = 19843200.

The previous prime is 68522551. The next prime is 68522591.

68522586 = T499 + T500 + ... + T811.

68522586 is nontrivially palindromic in base 10.

It is a Curzon number.

It is an unprimeable number.

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, 218766 + ... + 219078.

It is an arithmetic number, because the mean of its divisors is an integer number (2441664).

Almost surely, 268522586 is an apocalyptic number.

68522586 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 68522586, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78133248).

68522586 is an abundant number, since it is smaller than the sum of its proper divisors (87743910).

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

68522586 is a wasteful number, since it uses less digits than its factorization.

68522586 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467.

The product of its digits is 230400, while the sum is 42.

The square root of 68522586 is about 8277.8370363278. The cubic root of 68522586 is about 409.2084390570.

The spelling of 68522586 in words is "sixty-eight million, five hundred twenty-two thousand, five hundred eighty-six".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 107 186 214 313 321 341 626 642 682 939 1023 1177 1878 2046 2354 3317 3443 3531 6634 6886 7062 9703 9951 10329 19406 19902 20658 29109 33491 36487 58218 66982 72974 100473 106733 109461 200946 213466 218922 320199 368401 640398 736802 1038221 1105203 2076442 2210406 3114663 6229326 11420431 22840862 34261293 68522586