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508085284 = 227411572819
BaseRepresentation
bin11110010010001…
…100010000100100
31022102001101222111
4132102030100210
52020032212114
6122230010404
715406440130
oct3622142044
91272041874
10508085284
11240889aa3
121221a6a04
13813562a5
144b69c3c0
152e913bc4
hex1e48c424

508085284 has 48 divisors (see below), whose sum is σ = 1047957120. Its totient is φ = 211011840.

The previous prime is 508085267. The next prime is 508085323. The reversal of 508085284 is 482580805.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178827 + ... + 181645.

It is an arithmetic number, because the mean of its divisors is an integer number (21832440).

Almost surely, 2508085284 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 508085284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523978560).

508085284 is an abundant number, since it is smaller than the sum of its proper divisors (539871836).

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

508085284 is a wasteful number, since it uses less digits than its factorization.

508085284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3028 (or 3026 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 40.

The square root of 508085284 is about 22540.7471925844. The cubic root of 508085284 is about 797.9558667644.

It can be divided in two parts, 508085 and 284, that added together give a square (508369 = 7132).

The spelling of 508085284 in words is "five hundred eight million, eighty-five thousand, two hundred eighty-four".

Divisors: 1 2 4 7 14 28 41 82 157 164 287 314 574 628 1099 1148 2198 2819 4396 5638 6437 11276 12874 19733 25748 39466 45059 78932 90118 115579 180236 231158 442583 462316 809053 885166 1618106 1770332 3098081 3236212 6196162 12392324 18145903 36291806 72583612 127021321 254042642 508085284