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78878016 = 263376521
BaseRepresentation
bin1001011001110…
…01010101000000
312111102102022000
410230321111000
5130143044031
611454344000
71645311030
oct454712500
9174372260
1078878016
1140585248
12224bb000
13134597a9
14a6938c0
156dd13e6
hex4b39540

78878016 has 112 divisors (see below), whose sum is σ = 265054080. Its totient is φ = 22533120.

The previous prime is 78878003. The next prime is 78878027. The reversal of 78878016 is 61087887.

It is a tau number, because it is divible by the number of its divisors (112).

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 15 ways as a sum of consecutive naturals, for example, 8836 + ... + 15356.

Almost surely, 278878016 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 78878016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132527040).

78878016 is an abundant number, since it is smaller than the sum of its proper divisors (186176064).

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

78878016 is a wasteful number, since it uses less digits than its factorization.

78878016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6549 (or 6533 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The square root of 78878016 is about 8881.3296301849. The cubic root of 78878016 is about 428.8630791957.

The spelling of 78878016 in words is "seventy-eight million, eight hundred seventy-eight thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 3024 4032 6048 6521 12096 13042 19563 26084 39126 45647 52168 58689 78252 91294 104336 117378 136941 156504 176067 182588 208672 234756 273882 313008 352134 365176 410823 417344 469512 547764 626016 704268 730352 821646 939024 1095528 1232469 1252032 1408536 1460704 1643292 1878048 2191056 2464938 2817072 2921408 3286584 3756096 4382112 4929876 5634144 6573168 8764224 9859752 11268288 13146336 19719504 26292672 39439008 78878016