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78334928 = 2472412437
BaseRepresentation
bin1001010101101…
…00101111010000
312110101211022122
410222310233100
5130023204203
611434553412
71640556500
oct452645720
9173354278
1078334928
1140244211
1222298868
13132c9539
14a591a00
156d25538
hex4ab4bd0

78334928 has 60 divisors (see below), whose sum is σ = 180933732. Its totient is φ = 32739840.

The previous prime is 78334897. The next prime is 78334931. The reversal of 78334928 is 82943387.

It can be written as a sum of positive squares in 2 ways, for example, as 38291344 + 40043584 = 6188^2 + 6328^2 .

It is a super-2 number, since 2×783349282 = 12272721889530368, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30926 + ... + 33362.

Almost surely, 278334928 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 78334928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90466866).

78334928 is an abundant number, since it is smaller than the sum of its proper divisors (102598804).

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

78334928 is a wasteful number, since it uses less digits than its factorization.

78334928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2500 (or 2487 counting only the distinct ones).

The product of its digits is 290304, while the sum is 44.

The square root of 78334928 is about 8850.7021190412. The cubic root of 78334928 is about 427.8765475024.

The spelling of 78334928 in words is "seventy-eight million, three hundred thirty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 41 49 56 82 98 112 164 196 287 328 392 574 656 784 1148 2009 2296 2437 4018 4592 4874 8036 9748 16072 17059 19496 32144 34118 38992 68236 99917 119413 136472 199834 238826 272944 399668 477652 699419 799336 955304 1398838 1598672 1910608 2797676 4895933 5595352 9791866 11190704 19583732 39167464 78334928