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68766456 = 233111012579
BaseRepresentation
bin1000001100101…
…00101011111000
311210101200211210
410012110223320
5120101011311
610453523120
71463335203
oct406245370
9153350753
1068766456
11358a9290
121b0434a0
1311329215
1491c093a
1560853a6
hex4194af8

68766456 has 64 divisors (see below), whose sum is σ = 189475200. Its totient is φ = 20624000.

The previous prime is 68766437. The next prime is 68766469. The reversal of 68766456 is 65466786.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25375 + ... + 27953.

It is an arithmetic number, because the mean of its divisors is an integer number (2960550).

Almost surely, 268766456 is an apocalyptic number.

68766456 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68766456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94737600).

68766456 is an abundant number, since it is smaller than the sum of its proper divisors (120708744).

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

68766456 is a wasteful number, since it uses less digits than its factorization.

68766456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2700 (or 2696 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 48.

The square root of 68766456 is about 8292.5542506516. The cubic root of 68766456 is about 409.6933181494.

The spelling of 68766456 in words is "sixty-eight million, seven hundred sixty-six thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 101 132 202 264 303 404 606 808 1111 1212 2222 2424 2579 3333 4444 5158 6666 7737 8888 10316 13332 15474 20632 26664 28369 30948 56738 61896 85107 113476 170214 226952 260479 340428 520958 680856 781437 1041916 1562874 2083832 2865269 3125748 5730538 6251496 8595807 11461076 17191614 22922152 34383228 68766456