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71808912 = 24327210177
BaseRepresentation
bin1000100011110…
…11011110010000
312000010021022100
410101323132100
5121340341122
611043040400
71531236300
oct421733620
9160107270
1071808912
113759710a
1220070100
1311b52ca6
149773600
156486aac
hex447b790

71808912 has 90 divisors (see below), whose sum is σ = 233798838. Its totient is φ = 20514816.

The previous prime is 71808907. The next prime is 71808937. The reversal of 71808912 is 21980817.

It can be written as a sum of positive squares in only one way, i.e., 65028096 + 6780816 = 8064^2 + 2604^2 .

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

It is an unprimeable number.

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, 1968 + ... + 12144.

Almost surely, 271808912 is an apocalyptic number.

71808912 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71808912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116899419).

71808912 is an abundant number, since it is smaller than the sum of its proper divisors (161989926).

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

71808912 is a wasteful number, since it uses less digits than its factorization.

71808912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10205 (or 10189 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 71808912 is about 8474.0139249355. The cubic root of 71808912 is about 415.6484023757.

The spelling of 71808912 in words is "seventy-one million, eight hundred eight thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 3528 7056 10177 20354 30531 40708 61062 71239 81416 91593 122124 142478 162832 183186 213717 244248 284956 366372 427434 488496 498673 569912 641151 732744 854868 997346 1139824 1282302 1465488 1496019 1709736 1994692 2564604 2992038 3419472 3989384 4488057 5129208 5984076 7978768 8976114 10258416 11968152 17952228 23936304 35904456 71808912