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68046512 = 24172373149
BaseRepresentation
bin1000000111001…
…00111010110000
311202001010021012
410003210322300
5114404442022
610430250052
71454246222
oct403447260
9152033235
1068046512
1135457396
121a956928
1311136611
149074412
155e91de2
hex40e4eb0

68046512 has 80 divisors (see below), whose sum is σ = 148651200. Its totient is φ = 30007296.

The previous prime is 68046493. The next prime is 68046527. The reversal of 68046512 is 21564086.

It is a super-2 number, since 2×680465122 = 9260655590732288, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 456614 + ... + 456762.

It is an arithmetic number, because the mean of its divisors is an integer number (1858140).

Almost surely, 268046512 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 68046512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74325600).

68046512 is an abundant number, since it is smaller than the sum of its proper divisors (80604688).

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

68046512 is a wasteful number, since it uses less digits than its factorization.

68046512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 68046512 is about 8249.0309733932. The cubic root of 68046512 is about 408.2585507180.

The spelling of 68046512 in words is "sixty-eight million, forty-six thousand, five hundred twelve".

Divisors: 1 2 4 8 16 17 23 34 46 68 73 92 136 146 149 184 272 292 298 368 391 584 596 782 1168 1192 1241 1564 1679 2384 2482 2533 3128 3358 3427 4964 5066 6256 6716 6854 9928 10132 10877 13432 13708 19856 20264 21754 26864 27416 28543 40528 43508 54832 57086 58259 87016 114172 116518 174032 184909 228344 233036 250171 369818 456688 466072 500342 739636 932144 1000684 1479272 2001368 2958544 4002736 4252907 8505814 17011628 34023256 68046512