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68245632 = 2733721331
BaseRepresentation
bin1000001000101…
…01100010000000
311202102020102000
410010111202000
5114432330012
610434424000
71456035600
oct404254200
9152366360
1068245632
1135582a54
121aa32000
13111a6140
1490c6c00
155ed0ddc
hex4115880

68245632 has 384 divisors, whose sum is σ = 260467200. Its totient is φ = 17418240.

The previous prime is 68245631. The next prime is 68245643. The reversal of 68245632 is 23654286.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68245631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2201457 + ... + 2201487.

It is an arithmetic number, because the mean of its divisors is an integer number (678300).

Almost surely, 268245632 is an apocalyptic number.

68245632 is a gapful number since it is divisible by the number (62) 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 68245632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130233600).

68245632 is an abundant number, since it is smaller than the sum of its proper divisors (192221568).

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

68245632 is a wasteful number, since it uses less digits than its factorization.

68245632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 56 counting only the distinct ones).

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

The square root of 68245632 is about 8261.0914533129. The cubic root of 68245632 is about 408.6563829033.

The spelling of 68245632 in words is "sixty-eight million, two hundred forty-five thousand, six hundred thirty-two".