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78863664 = 24311413643
BaseRepresentation
bin1001011001101…
…01110100110000
312111101200121110
410230311310300
5130142114124
611454153320
71645221135
oct454656460
9174350543
1078863664
1140575490
12224b2840
13134530b9
14a68c58c
156dcc029
hex4b35d30

78863664 has 80 divisors (see below), whose sum is σ = 227735424. Its totient is φ = 23308800.

The previous prime is 78863651. The next prime is 78863669. The reversal of 78863664 is 46636887.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78863669) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 19827 + ... + 23469.

Almost surely, 278863664 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 78863664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113867712).

78863664 is an abundant number, since it is smaller than the sum of its proper divisors (148871760).

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

78863664 is a wasteful number, since it uses less digits than its factorization.

78863664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3706 (or 3700 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 48.

The square root of 78863664 is about 8880.5216063022. The cubic root of 78863664 is about 428.8370668095.

The spelling of 78863664 in words is "seventy-eight million, eight hundred sixty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 41 44 48 66 82 88 123 132 164 176 246 264 328 451 492 528 656 902 984 1353 1804 1968 2706 3608 3643 5412 7216 7286 10824 10929 14572 21648 21858 29144 40073 43716 58288 80146 87432 120219 149363 160292 174864 240438 298726 320584 448089 480876 597452 641168 896178 961752 1194904 1642993 1792356 1923504 2389808 3285986 3584712 4928979 6571972 7169424 9857958 13143944 19715916 26287888 39431832 78863664