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68425728 = 211373743
BaseRepresentation
bin1000001010000…
…01100000000000
311202202101110020
410011001200000
5120004110403
610442333440
71460415630
oct405014000
9152671406
1068425728
1135696298
121aaba280
131123a0c7
1491326c0
156019453
hex4141800

68425728 has 192 divisors, whose sum is σ = 219098880. Its totient is φ = 18579456.

The previous prime is 68425727. The next prime is 68425741. The reversal of 68425728 is 82752486.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (215040) is a multiple of the sum of its prime factors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 68425728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68425723) 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 15 ways as a sum of consecutive naturals, for example, 1591275 + ... + 1591317.

It is an arithmetic number, because the mean of its divisors is an integer number (1141140).

Almost surely, 268425728 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 68425728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109549440).

68425728 is an abundant number, since it is smaller than the sum of its proper divisors (150673152).

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

68425728 is a wasteful number, since it uses less digits than its factorization.

68425728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 92 counting only the distinct ones).

The product of its digits is 215040, while the sum is 42.

The square root of 68425728 is about 8271.9845260977. The cubic root of 68425728 is about 409.0155401265.

The spelling of 68425728 in words is "sixty-eight million, four hundred twenty-five thousand, seven hundred twenty-eight".