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268406608 = 24177912491
BaseRepresentation
bin11111111111110…
…00111101010000
3200201001110122111
433333320331100
51022203002413
642344515104
76436263361
oct1777707520
9621043574
10268406608
11128565948
1275a7ba94
13437b87a2
142790bb68
151886cd3d
hexfff8f50

268406608 has 40 divisors (see below), whose sum is σ = 557642880. Its totient is φ = 124700160.

The previous prime is 268406569. The next prime is 268406609. The reversal of 268406608 is 806604862.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268406609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15243 + ... + 27733.

It is an arithmetic number, because the mean of its divisors is an integer number (13941072).

Almost surely, 2268406608 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 268406608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278821440).

268406608 is an abundant number, since it is smaller than the sum of its proper divisors (289236272).

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

268406608 is a wasteful number, since it uses less digits than its factorization.

268406608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12595 (or 12589 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The square root of 268406608 is about 16383.1196052522. The cubic root of 268406608 is about 645.0564684251.

The spelling of 268406608 in words is "two hundred sixty-eight million, four hundred six thousand, six hundred eight".

Divisors: 1 2 4 8 16 17 34 68 79 136 158 272 316 632 1264 1343 2686 5372 10744 12491 21488 24982 49964 99928 199856 212347 424694 849388 986789 1698776 1973578 3397552 3947156 7894312 15788624 16775413 33550826 67101652 134203304 268406608