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78280812 = 22324361829
BaseRepresentation
bin1001010101001…
…11100001101100
312110022002002100
410222213201230
5130014441222
611433455100
71640242641
oct452474154
9173262070
1078280812
1140207595
1222271490
13132aaa0c
14a579dc8
156d144ac
hex4aa786c

78280812 has 72 divisors (see below), whose sum is σ = 206045840. Its totient is φ = 25038720.

The previous prime is 78280793. The next prime is 78280819. The reversal of 78280812 is 21808287.

It is a super-2 number, since 2×782808122 = 12255771054758688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (78280819) 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 23 ways as a sum of consecutive naturals, for example, 94014 + ... + 94842.

Almost surely, 278280812 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 78280812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103022920).

78280812 is an abundant number, since it is smaller than the sum of its proper divisors (127765028).

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

78280812 is a wasteful number, since it uses less digits than its factorization.

78280812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 78280812 is about 8847.6444322769. The cubic root of 78280812 is about 427.7779950350. Note that the first 3 decimals are identical.

The spelling of 78280812 in words is "seventy-eight million, two hundred eighty thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 43 61 86 122 129 172 183 244 258 366 387 516 549 732 774 829 1098 1548 1658 2196 2487 2623 3316 4974 5246 7461 7869 9948 10492 14922 15738 23607 29844 31476 35647 47214 50569 71294 94428 101138 106941 142588 151707 202276 213882 303414 320823 427764 455121 606828 641646 910242 1283292 1820484 2174467 4348934 6523401 8697868 13046802 19570203 26093604 39140406 78280812