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68419728 = 24341331131
BaseRepresentation
bin1000001010000…
…00000010010000
311202202002020000
410011000002100
5120003412403
610442250000
71460362266
oct405000220
9152662200
1068419728
1135691833
121aab6900
1311237460
149130436
1560177a3
hex4140090

68419728 has 200 divisors, whose sum is σ = 221819136. Its totient is φ = 20217600.

The previous prime is 68419727. The next prime is 68419753. The reversal of 68419728 is 82791486.

It is not an unprimeable number, because it can be changed into a prime (68419727) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 522223 + ... + 522353.

Almost surely, 268419728 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 68419728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110909568).

68419728 is an abundant number, since it is smaller than the sum of its proper divisors (153399408).

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

68419728 is a wasteful number, since it uses less digits than its factorization.

68419728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 180 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 68419728 is about 8271.6218482230. The cubic root of 68419728 is about 409.0035847551.

The spelling of 68419728 in words is "sixty-eight million, four hundred nineteen thousand, seven hundred twenty-eight".