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68308992 = 2123217109
BaseRepresentation
bin1000001001001…
…01000000000000
311202112110022200
410010211000000
5114441341432
610440033200
71456421403
oct404450000
9152473280
1068308992
1135616614
121aa62800
13111c8c2b
149101d3a
155ee4a7c
hex4125000

68308992 has 156 divisors (see below), whose sum is σ = 210836340. Its totient is φ = 21233664.

The previous prime is 68308969. The next prime is 68309041. The reversal of 68308992 is 29980386.

It can be written as a sum of positive squares in 2 ways, for example, as 50466816 + 17842176 = 7104^2 + 4224^2 .

It is a super-2 number, since 2×683089922 = 9332236776112128, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 626634 + ... + 626742.

It is an arithmetic number, because the mean of its divisors is an integer number (1351515).

Almost surely, 268308992 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 68308992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105418170).

68308992 is an abundant number, since it is smaller than the sum of its proper divisors (142527348).

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

68308992 is a wasteful number, since it uses less digits than its factorization.

68308992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 68308992 is about 8264.9254080119. The cubic root of 68308992 is about 408.7828108218.

The spelling of 68308992 in words is "sixty-eight million, three hundred eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 109 128 136 144 153 192 204 218 256 272 288 306 327 384 408 436 512 544 576 612 654 768 816 872 981 1024 1088 1152 1224 1308 1536 1632 1744 1853 1962 2048 2176 2304 2448 2616 3072 3264 3488 3706 3924 4096 4352 4608 4896 5232 5559 6144 6528 6976 7412 7848 8704 9216 9792 10464 11118 12288 13056 13952 14824 15696 16677 17408 18432 19584 20928 22236 26112 27904 29648 31392 33354 34816 36864 39168 41856 44472 52224 55808 59296 62784 66708 69632 78336 83712 88944 104448 111616 118592 125568 133416 156672 167424 177888 208896 223232 237184 251136 266832 313344 334848 355776 446464 474368 502272 533664 626688 669696 711552 948736 1004544 1067328 1339392 1423104 1897472 2009088 2134656 2846208 3794944 4018176 4269312 5692416 7589888 8538624 11384832 17077248 22769664 34154496 68308992