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68287296 = 26371131149
BaseRepresentation
bin1000001000111…
…11101101000000
311202111100120010
410010133231000
5114440143141
610435344520
71456301220
oct404375500
9152440503
1068287296
1135601290
121aa52140
13111bc0ac
1490d8080
155edd416
hex411fb40

68287296 has 224 divisors, whose sum is σ = 234086400. Its totient is φ = 17049600.

The previous prime is 68287279. The next prime is 68287313. The reversal of 68287296 is 69278286.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (68287279) and next prime (68287313).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 458230 + ... + 458378.

Almost surely, 268287296 is an apocalyptic number.

68287296 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 68287296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117043200).

68287296 is an abundant number, since it is smaller than the sum of its proper divisors (165799104).

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

68287296 is a wasteful number, since it uses less digits than its factorization.

68287296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 203 counting only the distinct ones).

The product of its digits is 580608, while the sum is 48.

The square root of 68287296 is about 8263.6127692432. The cubic root of 68287296 is about 408.7395276427.

It can be divided in two parts, 682 and 87296, that added together give a palindrome (87978).

The spelling of 68287296 in words is "sixty-eight million, two hundred eighty-seven thousand, two hundred ninety-six".