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487071306 = 23426911177
BaseRepresentation
bin11101000010000…
…001111001001010
31020221111210020000
4131002001321022
51444142240211
6120155343430
715033015651
oct3502017112
91227453200
10487071306
1122aa36977
12117151b76
1379ba9497
144898c198
152cb62656
hex1d081e4a

487071306 has 40 divisors (see below), whose sum is σ = 1095555780. Its totient is φ = 161739072.

The previous prime is 487071259. The next prime is 487071313. The reversal of 487071306 is 603170784.

It can be written as a sum of positive squares in 2 ways, for example, as 485805681 + 1265625 = 22041^2 + 1125^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 37990 + ... + 49166.

Almost surely, 2487071306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 487071306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547777890).

487071306 is an abundant number, since it is smaller than the sum of its proper divisors (608484474).

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

487071306 is a wasteful number, since it uses less digits than its factorization.

487071306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11460 (or 11451 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 487071306 is about 22069.6920232250. The cubic root of 487071306 is about 786.7996930629.

It can be divided in two parts, 4870 and 71306, that added together give a square (76176 = 2762).

The spelling of 487071306 in words is "four hundred eighty-seven million, seventy-one thousand, three hundred six".

Divisors: 1 2 3 6 9 18 27 54 81 162 269 538 807 1614 2421 4842 7263 11177 14526 21789 22354 33531 43578 67062 100593 201186 301779 603558 905337 1810674 3006613 6013226 9019839 18039678 27059517 54119034 81178551 162357102 243535653 487071306