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68877568 = 281132381
BaseRepresentation
bin1000001101011…
…11110100000000
311210121100021001
410012233310000
5120113040233
610500141344
71464310144
oct406576400
9153540231
1068877568
1135974811
121b097854
1311367976
14920d224
1560a827d
hex41afd00

68877568 has 36 divisors (see below), whose sum is σ = 138761028. Its totient is φ = 34119680.

The previous prime is 68877563. The next prime is 68877569. The reversal of 68877568 is 86577886.

It can be written as a sum of positive squares in 2 ways, for example, as 451584 + 68425984 = 672^2 + 8272^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68877563) 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 3 ways as a sum of consecutive naturals, for example, 27738 + ... + 30118.

It is an arithmetic number, because the mean of its divisors is an integer number (3854473).

Almost surely, 268877568 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 68877568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69380514).

68877568 is an abundant number, since it is smaller than the sum of its proper divisors (69883460).

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

68877568 is a wasteful number, since it uses less digits than its factorization.

68877568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2510 (or 2496 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 55.

The square root of 68877568 is about 8299.2510505467. The cubic root of 68877568 is about 409.9138585636.

The spelling of 68877568 in words is "sixty-eight million, eight hundred seventy-seven thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 113 128 226 256 452 904 1808 2381 3616 4762 7232 9524 14464 19048 28928 38096 76192 152384 269053 304768 538106 609536 1076212 2152424 4304848 8609696 17219392 34438784 68877568