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90014824 = 23233143367
BaseRepresentation
bin1010101110110…
…00010001101000
320021101020010101
411113120101220
5141020433244
612533155144
72142053614
oct527302150
9207336111
1090014824
11468a1519
122618bab4
1315858913
14bd52344
157d810d4
hex55d8468

90014824 has 64 divisors (see below), whose sum is σ = 186531840. Its totient is φ = 40582080.

The previous prime is 90014819. The next prime is 90014831. The reversal of 90014824 is 42841009.

It is a junction number, because it is equal to n+sod(n) for n = 90014792 and 90014801.

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, 245089 + ... + 245455.

It is an arithmetic number, because the mean of its divisors is an integer number (2914560).

Almost surely, 290014824 is an apocalyptic number.

It is an amenable number.

90014824 is an abundant number, since it is smaller than the sum of its proper divisors (96517016).

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

90014824 is a wasteful number, since it uses less digits than its factorization.

90014824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 90014824 is about 9487.6142417364. The cubic root of 90014824 is about 448.1650778768.

The spelling of 90014824 in words is "ninety million, fourteen thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 23 31 43 46 62 86 92 124 172 184 248 344 367 713 734 989 1333 1426 1468 1978 2666 2852 2936 3956 5332 5704 7912 8441 10664 11377 15781 16882 22754 30659 31562 33764 45508 61318 63124 67528 91016 122636 126248 245272 261671 362963 489211 523342 725926 978422 1046684 1451852 1956844 2093368 2903704 3913688 11251853 22503706 45007412 90014824