Search a number
-
+
68226642 = 232113171087
BaseRepresentation
bin1000001000100…
…00111001010010
311202101021100200
410010100321102
5114431223032
610434200030
71455626331
oct404207122
9152337320
1068226642
113556a760
121aa23016
131119a5c3
1490bdd18
155eca47c
hex4110e52

68226642 has 48 divisors (see below), whose sum is σ = 161920512. Its totient is φ = 20590560.

The previous prime is 68226637. The next prime is 68226643. The reversal of 68226642 is 24662286.

68226642 is a `hidden beast` number, since 6 + 8 + 2 + 2 + 6 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 68226597 and 68226606.

It is not an unprimeable number, because it can be changed into a prime (68226643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62223 + ... + 63309.

It is an arithmetic number, because the mean of its divisors is an integer number (3373344).

Almost surely, 268226642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68226642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80960256).

68226642 is an abundant number, since it is smaller than the sum of its proper divisors (93693870).

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

68226642 is a wasteful number, since it uses less digits than its factorization.

68226642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1423 (or 1420 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 68226642 is about 8259.9420094817. The cubic root of 68226642 is about 408.6184752044.

The spelling of 68226642 in words is "sixty-eight million, two hundred twenty-six thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 317 634 951 1087 1902 2174 2853 3261 3487 5706 6522 6974 9783 10461 11957 19566 20922 23914 31383 35871 62766 71742 107613 215226 344579 689158 1033737 2067474 3101211 3790369 6202422 7580738 11371107 22742214 34113321 68226642