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68271936 = 263734871
BaseRepresentation
bin1000001000110…
…11111101000000
311202110120111020
410010123331000
5114434200221
610435145440
71456205355
oct404337500
9152416436
1068271936
11355a0797
121aa45280
13111b50c5
1490d262c
155ed8ac6
hex411bf40

68271936 has 56 divisors (see below), whose sum is σ = 183148224. Its totient is φ = 22440960.

The previous prime is 68271901. The next prime is 68271937. The reversal of 68271936 is 63917286.

It is a happy number.

It is a super-2 number, since 2×682719362 = 9322114490376192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68271937) 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, 11581 + ... + 16451.

It is an arithmetic number, because the mean of its divisors is an integer number (3270504).

Almost surely, 268271936 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 68271936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91574112).

68271936 is an abundant number, since it is smaller than the sum of its proper divisors (114876288).

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

68271936 is a wasteful number, since it uses less digits than its factorization.

68271936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4959 (or 4949 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 68271936 is about 8262.6833413849. The cubic root of 68271936 is about 408.7088791410.

The spelling of 68271936 in words is "sixty-eight million, two hundred seventy-one thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 73 96 146 192 219 292 438 584 876 1168 1752 2336 3504 4672 4871 7008 9742 14016 14613 19484 29226 38968 58452 77936 116904 155872 233808 311744 355583 467616 711166 935232 1066749 1422332 2133498 2844664 4266996 5689328 8533992 11378656 17067984 22757312 34135968 68271936