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68175648 = 2533194153
BaseRepresentation
bin1000001000001…
…00011100100000
311202021200102000
410010010130200
5114423110043
610433124000
71455324552
oct404043440
9152250360
1068175648
1135535412
121a9b9600
1311180328
1490a94d2
155eba2d3
hex4104720

68175648 has 96 divisors (see below), whose sum is σ = 209361600. Its totient is φ = 21523968.

The previous prime is 68175643. The next prime is 68175659. The reversal of 68175648 is 84657186.

It is a happy number.

68175648 is a `hidden beast` number, since 6 + 81 + 7 + 564 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (68175643) 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 15 ways as a sum of consecutive naturals, for example, 14340 + ... + 18492.

It is an arithmetic number, because the mean of its divisors is an integer number (2180850).

Almost surely, 268175648 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 68175648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104680800).

68175648 is an abundant number, since it is smaller than the sum of its proper divisors (141185952).

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

68175648 is a wasteful number, since it uses less digits than its factorization.

68175648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4191 (or 4177 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 68175648 is about 8256.8546069311. The cubic root of 68175648 is about 408.5166465373.

The spelling of 68175648 in words is "sixty-eight million, one hundred seventy-five thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 96 108 114 144 152 171 216 228 288 304 342 432 456 513 608 684 864 912 1026 1368 1824 2052 2736 4104 4153 5472 8208 8306 12459 16416 16612 24918 33224 37377 49836 66448 74754 78907 99672 112131 132896 149508 157814 199344 224262 236721 299016 315628 398688 448524 473442 598032 631256 710163 897048 946884 1196064 1262512 1420326 1794096 1893768 2130489 2525024 2840652 3588192 3787536 4260978 5681304 7575072 8521956 11362608 17043912 22725216 34087824 68175648