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68688096 = 2532113391
BaseRepresentation
bin1000001100000…
…01100011100000
311210020201100120
410012001203200
5120041004341
610452120240
71462560561
oct406014340
9153221316
1068688096
1135855424
121b006080
13112cc659
1491a0168
15606c066
hex41818e0

68688096 has 48 divisors (see below), whose sum is σ = 181214208. Its totient is φ = 22780800.

The previous prime is 68688049. The next prime is 68688107. The reversal of 68688096 is 69088686.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18561 + ... + 21951.

It is an arithmetic number, because the mean of its divisors is an integer number (3775296).

Almost surely, 268688096 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 68688096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90607104).

68688096 is an abundant number, since it is smaller than the sum of its proper divisors (112526112).

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

68688096 is a wasteful number, since it uses less digits than its factorization.

68688096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3615 (or 3607 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 51.

The square root of 68688096 is about 8287.8281835472. The cubic root of 68688096 is about 409.5376425865.

The spelling of 68688096 in words is "sixty-eight million, six hundred eighty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 211 422 633 844 1266 1688 2532 3376 3391 5064 6752 6782 10128 10173 13564 20256 20346 27128 40692 54256 81384 108512 162768 325536 715501 1431002 2146503 2862004 4293006 5724008 8586012 11448016 17172024 22896032 34344048 68688096