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68377088 = 291310273
BaseRepresentation
bin1000001001101…
…01101000000000
311202122220201202
410010311220000
5120001031323
610441320332
71460124053
oct404655000
9152586652
1068377088
113566279a
121aa960a8
1311220c20
14911ca9a
156009d28
hex4135a00

68377088 has 40 divisors (see below), whose sum is σ = 147144228. Its totient is φ = 31555584.

The previous prime is 68377087. The next prime is 68377097. The reversal of 68377088 is 88077386.

It can be written as a sum of positive squares in 2 ways, for example, as 60715264 + 7661824 = 7792^2 + 2768^2 .

It is not an unprimeable number, because it can be changed into a prime (68377081) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1520 + ... + 11792.

Almost surely, 268377088 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 68377088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73572114).

68377088 is an abundant number, since it is smaller than the sum of its proper divisors (78767140).

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

68377088 is a wasteful number, since it uses less digits than its factorization.

68377088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10304 (or 10288 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 47.

The square root of 68377088 is about 8269.0439592495. The cubic root of 68377088 is about 408.9186017755.

The spelling of 68377088 in words is "sixty-eight million, three hundred seventy-seven thousand, eighty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1664 3328 6656 10273 20546 41092 82184 133549 164368 267098 328736 534196 657472 1068392 1314944 2136784 2629888 4273568 5259776 8547136 17094272 34188544 68377088