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78232836 = 2231129107191
BaseRepresentation
bin1001010100110…
…11110100000100
312110012122021110
410222123310010
5130011422321
611432445020
71636653033
oct452336404
9173178243
1078232836
1140184540
1222249770
1313291c26
14a56671a
156d05176
hex4a9bd04

78232836 has 96 divisors (see below), whose sum is σ = 209018880. Its totient is φ = 22556800.

The previous prime is 78232829. The next prime is 78232853. The reversal of 78232836 is 63823287.

It is a happy number.

It is a super-2 number, since 2×782328362 = 12240753257205792, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 78232794 and 78232803.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 409501 + ... + 409691.

It is an arithmetic number, because the mean of its divisors is an integer number (2177280).

Almost surely, 278232836 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 78232836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104509440).

78232836 is an abundant number, since it is smaller than the sum of its proper divisors (130786044).

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

78232836 is a wasteful number, since it uses less digits than its factorization.

78232836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 343 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 78232836 is about 8844.9327866299. The cubic root of 78232836 is about 427.6905863386.

The spelling of 78232836 in words is "seventy-eight million, two hundred thirty-two thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 107 116 132 174 191 214 319 321 348 382 428 573 638 642 764 957 1146 1177 1276 1284 1914 2101 2292 2354 3103 3531 3828 4202 4708 5539 6206 6303 7062 8404 9309 11078 12412 12606 14124 16617 18618 20437 22156 25212 33234 34133 37236 40874 60929 61311 66468 68266 81748 102399 121858 122622 136532 182787 204798 224807 243716 245244 365574 409596 449614 592673 674421 731148 899228 1185346 1348842 1778019 2370692 2697684 3556038 6519403 7112076 13038806 19558209 26077612 39116418 78232836