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78830928 = 24331153313
BaseRepresentation
bin1001011001011…
…01110101010000
312111100000201000
410230231311100
5130140042203
611453342000
71645023531
oct454556520
9174300630
1078830928
1140552930
1222497900
1313441227
14a680688
156dc24a3
hex4b2dd50

78830928 has 160 divisors (see below), whose sum is σ = 252305280. Its totient is φ = 23362560.

The previous prime is 78830881. The next prime is 78830951. The reversal of 78830928 is 82903887.

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 31 ways as a sum of consecutive naturals, for example, 251700 + ... + 252012.

It is an arithmetic number, because the mean of its divisors is an integer number (1576908).

Almost surely, 278830928 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 78830928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126152640).

78830928 is an abundant number, since it is smaller than the sum of its proper divisors (173474352).

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

78830928 is a wasteful number, since it uses less digits than its factorization.

78830928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 78830928 is about 8878.6782800144. The cubic root of 78830928 is about 428.7777223984. Note that the first 4 decimals are identical.

The spelling of 78830928 in words is "seventy-eight million, eight hundred thirty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 53 54 66 72 88 99 106 108 132 144 159 176 198 212 216 264 297 313 318 396 424 432 477 528 583 594 626 636 792 848 939 954 1166 1188 1252 1272 1431 1584 1749 1878 1908 2332 2376 2504 2544 2817 2862 3443 3498 3756 3816 4664 4752 5008 5247 5634 5724 6886 6996 7512 7632 8451 9328 10329 10494 11268 11448 13772 13992 15024 15741 16589 16902 20658 20988 22536 22896 27544 27984 30987 31482 33178 33804 41316 41976 45072 49767 55088 61974 62964 66356 67608 82632 83952 92961 99534 123948 125928 132712 135216 149301 165264 182479 185922 199068 247896 251856 265424 298602 364958 371844 398136 447903 495792 547437 597204 729916 743688 796272 895806 1094874 1194408 1459832 1487376 1642311 1791612 2189748 2388816 2919664 3284622 3583224 4379496 4926933 6569244 7166448 8758992 9853866 13138488 19707732 26276976 39415464 78830928