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78286516 = 22721123301
BaseRepresentation
bin1001010101010…
…00111010110100
312110022100220121
410222220322310
5130020132031
611433541324
71640265400
oct452507264
9173270817
1078286516
1140210900
1222274844
13132b04a9
14a57c100
156d16011
hex4aa8eb4

78286516 has 54 divisors (see below), whose sum is σ = 175227234. Its totient is φ = 30492000.

The previous prime is 78286511. The next prime is 78286519. The reversal of 78286516 is 61568287.

It can be written as a sum of positive squares in only one way, i.e., 56942116 + 21344400 = 7546^2 + 4620^2 .

It is a super-2 number, since 2×782865162 = 12257557174836512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78286511) 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 17 ways as a sum of consecutive naturals, for example, 22066 + ... + 25366.

Almost surely, 278286516 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 78286516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87613617).

78286516 is an abundant number, since it is smaller than the sum of its proper divisors (96940718).

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

78286516 is a wasteful number, since it uses less digits than its factorization.

78286516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3341 (or 3321 counting only the distinct ones).

The product of its digits is 161280, while the sum is 43.

The square root of 78286516 is about 8847.9667720895. The cubic root of 78286516 is about 427.7883849222.

The spelling of 78286516 in words is "seventy-eight million, two hundred eighty-six thousand, five hundred sixteen".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 121 154 196 242 308 484 539 847 1078 1694 2156 3301 3388 5929 6602 11858 13204 23107 23716 36311 46214 72622 92428 145244 161749 254177 323498 399421 508354 646996 798842 1016708 1597684 1779239 2795947 3558478 5591894 7116956 11183788 19571629 39143258 78286516