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68443056 = 2434114801
BaseRepresentation
bin1000001010001…
…01101110110000
311202210021020000
410011011232300
5120010134211
610442550000
71460520303
oct405055660
9152707200
1068443056
11356a8310
121ab08300
1311244c66
149138b3a
15601e656
hex4145bb0

68443056 has 100 divisors (see below), whose sum is σ = 216147624. Its totient is φ = 20736000.

The previous prime is 68443043. The next prime is 68443061. The reversal of 68443056 is 65034486.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 68443056.

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 19 ways as a sum of consecutive naturals, for example, 11856 + ... + 16656.

Almost surely, 268443056 is an apocalyptic number.

68443056 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68443056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108073812).

68443056 is an abundant number, since it is smaller than the sum of its proper divisors (147704568).

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

68443056 is a wasteful number, since it uses less digits than its factorization.

68443056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4832 (or 4817 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 68443056 is about 8273.0318505370. The cubic root of 68443056 is about 409.0500633158.

It can be divided in two parts, 684430 and 56, that added together give a palindrome (684486).

The spelling of 68443056 in words is "sixty-eight million, four hundred forty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 81 88 99 108 132 144 162 176 198 216 264 297 324 396 432 528 594 648 792 891 1188 1296 1584 1782 2376 3564 4752 4801 7128 9602 14256 14403 19204 28806 38408 43209 52811 57612 76816 86418 105622 115224 129627 158433 172836 211244 230448 259254 316866 345672 388881 422488 475299 518508 633732 691344 777762 844976 950598 1037016 1267464 1425897 1555524 1901196 2074032 2534928 2851794 3111048 3802392 4277691 5703588 6222096 7604784 8555382 11407176 17110764 22814352 34221528 68443056