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506982468 = 223236130113
BaseRepresentation
bin11110001101111…
…111000001000100
31022022222101012110
4132031333001010
52014241414333
6122150221020
715364164666
oct3615770104
91268871173
10506982468
112401a6483
12121954770
138105b335
144b492536
152e797063
hex1e37f044

506982468 has 48 divisors (see below), whose sum is σ = 1254669696. Its totient is φ = 158991360.

The previous prime is 506982451. The next prime is 506982499. The reversal of 506982468 is 864289605.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1780 + ... + 31892.

It is an arithmetic number, because the mean of its divisors is an integer number (26138952).

Almost surely, 2506982468 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 506982468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627334848).

506982468 is an abundant number, since it is smaller than the sum of its proper divisors (747687228).

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

506982468 is a wasteful number, since it uses less digits than its factorization.

506982468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30204 (or 30202 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The square root of 506982468 is about 22516.2711833021. The cubic root of 506982468 is about 797.3781186433.

The spelling of 506982468 in words is "five hundred six million, nine hundred eighty-two thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 12 23 46 61 69 92 122 138 183 244 276 366 732 1403 2806 4209 5612 8418 16836 30113 60226 90339 120452 180678 361356 692599 1385198 1836893 2077797 2770396 3673786 4155594 5510679 7347572 8311188 11021358 22042716 42248539 84497078 126745617 168994156 253491234 506982468