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78666225 = 35211177179
BaseRepresentation
bin1001011000001…
…01100111110001
312111000122202220
410230011213301
5130114304400
611450031253
71643436411
oct454054761
9174018686
1078666225
1140450110
1222418529
13133b4281
14a63a641
156d8d7a0
hex4b059f1

78666225 has 96 divisors (see below), whose sum is σ = 154275840. Its totient is φ = 34944000.

The previous prime is 78666209. The next prime is 78666227. The reversal of 78666225 is 52266687.

It is not a de Polignac number, because 78666225 - 24 = 78666209 is a prime.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78666227) 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 95 ways as a sum of consecutive naturals, for example, 995736 + ... + 995814.

It is an arithmetic number, because the mean of its divisors is an integer number (1607040).

Almost surely, 278666225 is an apocalyptic number.

78666225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

78666225 is the 7242-nd pentagonal number.

It is an amenable number.

78666225 is a deficient number, since it is larger than the sum of its proper divisors (75609615).

78666225 is a wasteful number, since it uses less digits than its factorization.

78666225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 186 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 78666225 is about 8869.3982321238. The cubic root of 78666225 is about 428.4788962928.

It can be divided in two parts, 786662 and 25, that added together give a palindrome (786687).

The spelling of 78666225 in words is "seventy-eight million, six hundred sixty-six thousand, two hundred twenty-five".

Divisors: 1 3 5 11 15 17 25 33 51 55 71 75 79 85 165 187 213 237 255 275 355 395 425 561 781 825 869 935 1065 1185 1207 1275 1343 1775 1975 2343 2607 2805 3621 3905 4029 4345 4675 5325 5609 5925 6035 6715 11715 13035 13277 14025 14773 16827 18105 19525 20145 21725 28045 30175 33575 39831 44319 58575 61699 65175 66385 73865 84135 90525 95353 100725 140225 185097 199155 221595 286059 308495 331925 369325 420675 476765 925485 995775 1048883 1107975 1430295 1542475 2383825 3146649 4627425 5244415 7151475 15733245 26222075 78666225