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4650224256 = 27343891153
BaseRepresentation
bin1000101010010110…
…01100101010000000
3110000002012212110000
410111023030222000
534010424134011
62045234240000
7223144153056
oct42513145200
913002185400
104650224256
111a76a26347
12a99426000
135915537b2
143218521d6
151c33b4356
hex1152cca80

4650224256 has 160 divisors (see below), whose sum is σ = 13886601300. Its totient is φ = 1544749056.

The previous prime is 4650224221. The next prime is 4650224261. The reversal of 4650224256 is 6524220564.

It can be written as a sum of positive squares in 2 ways, for example, as 4649057856 + 1166400 = 68184^2 + 1080^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 4650224256.

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, 4032576 + ... + 4033728.

Almost surely, 24650224256 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 4650224256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6943300650).

4650224256 is an abundant number, since it is smaller than the sum of its proper divisors (9236377044).

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

4650224256 is a wasteful number, since it uses less digits than its factorization.

4650224256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1568 (or 1547 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 4650224256 is about 68192.5527898758. The cubic root of 4650224256 is about 1669.1343663030.

The spelling of 4650224256 in words is "four billion, six hundred fifty million, two hundred twenty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 389 432 576 648 778 864 1152 1153 1167 1296 1556 1728 2306 2334 2592 3112 3456 3459 3501 4612 4668 5184 6224 6918 7002 9224 9336 10368 10377 10503 12448 13836 14004 18448 18672 20754 21006 24896 27672 28008 31131 31509 36896 37344 41508 42012 49792 55344 56016 62262 63018 73792 74688 83016 84024 93393 110688 112032 124524 126036 147584 149376 166032 168048 186786 221376 224064 249048 252072 332064 336096 373572 442752 448128 448517 498096 504144 664128 672192 747144 897034 996192 1008288 1328256 1344384 1345551 1494288 1794068 1992384 2016576 2691102 2988576 3588136 3984768 4033152 4036653 5382204 5977152 7176272 8073306 10764408 11954304 12109959 14352544 16146612 21528816 24219918 28705088 32293224 36329877 43057632 48439836 57410176 64586448 72659754 86115264 96879672 129172896 145319508 172230528 193759344 258345792 290639016 387518688 516691584 581278032 775037376 1162556064 1550074752 2325112128 4650224256