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68088144 = 2432236361
BaseRepresentation
bin1000000111011…
…11000101010000
311202010020101010
410003233011100
5114412310034
610431210520
71454511465
oct403570520
9152106333
1068088144
11354856a3
121a976a40
131114c557
14908566c
155e9e3e9
hex40ef150

68088144 has 40 divisors (see below), whose sum is σ = 176710912. Its totient is φ = 22590720.

The previous prime is 68088131. The next prime is 68088149. The reversal of 68088144 is 44188086.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68088149) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 7524 + ... + 13884.

Almost surely, 268088144 is an apocalyptic number.

It is an amenable number.

68088144 is an abundant number, since it is smaller than the sum of its proper divisors (108622768).

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

68088144 is a wasteful number, since it uses less digits than its factorization.

68088144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6595 (or 6589 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 68088144 is about 8251.5540354530. The cubic root of 68088144 is about 408.3417935588.

The spelling of 68088144 in words is "sixty-eight million, eighty-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 223 446 669 892 1338 1784 2676 3568 5352 6361 10704 12722 19083 25444 38166 50888 76332 101776 152664 305328 1418503 2837006 4255509 5674012 8511018 11348024 17022036 22696048 34044072 68088144