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68838516 = 22325573433
BaseRepresentation
bin1000001101001…
…10010001110100
311210112100200200
410012212101310
5120110313031
610455240500
71464055245
oct406462164
9153470620
1068838516
113594843a
121b079130
1311352c66
1491dcccc
15609b8e6
hex41a6474

68838516 has 36 divisors (see below), whose sum is σ = 174371652. Its totient is φ = 22898304.

The previous prime is 68838509. The next prime is 68838529. The reversal of 68838516 is 61583886.

It can be written as a sum of positive squares in 2 ways, for example, as 13395600 + 55442916 = 3660^2 + 7446^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 18336 + ... + 21768.

It is an arithmetic number, because the mean of its divisors is an integer number (4843657).

Almost surely, 268838516 is an apocalyptic number.

It is an amenable number.

68838516 is an abundant number, since it is smaller than the sum of its proper divisors (105533136).

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

68838516 is a wasteful number, since it uses less digits than its factorization.

68838516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4000 (or 3995 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 68838516 is about 8296.8979745445. The cubic root of 68838516 is about 409.8363733348.

It can be divided in two parts, 688 and 38516, that added together give a square (39204 = 1982).

The spelling of 68838516 in words is "sixty-eight million, eight hundred thirty-eight thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 557 1114 1671 2228 3342 3433 5013 6684 6866 10026 10299 13732 20052 20598 30897 41196 61794 123588 1912181 3824362 5736543 7648724 11473086 17209629 22946172 34419258 68838516