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68257728 = 263671119
BaseRepresentation
bin1000001000110…
…00011111000000
311202102212000000
410010120133000
5114433221403
610435000000
71456116060
oct404303700
9152385000
1068257728
1135591050
121aa39000
13111ab7b6
1490cb3a0
155ed47a3
hex41187c0

68257728 has 392 divisors, whose sum is σ = 266517120. Its totient is φ = 16796160.

The previous prime is 68257723. The next prime is 68257729. The reversal of 68257728 is 82775286.

Its product of digits (376320) is a multiple of the sum of its prime divisors (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68257723) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3592503 + ... + 3592521.

Almost surely, 268257728 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 68257728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133258560).

68257728 is an abundant number, since it is smaller than the sum of its proper divisors (198259392).

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

68257728 is a wasteful number, since it uses less digits than its factorization.

68257728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 42 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

The square root of 68257728 is about 8261.8235275271. The cubic root of 68257728 is about 408.6805251839.

The spelling of 68257728 in words is "sixty-eight million, two hundred fifty-seven thousand, seven hundred twenty-eight".