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4493209248 = 2532116123251
BaseRepresentation
bin1000010111101000…
…01110111010100000
3102121010202200100100
410023310032322200
533200230143443
62021505022400
7216226435263
oct41364167240
912533680310
104493209248
1119a6332680
12a54924a00
13567b698c8
14308a5ccda
151b46eb3d3
hex10bd0eea0

4493209248 has 144 divisors (see below), whose sum is σ = 14168280672. Its totient is φ = 1339200000.

The previous prime is 4493209247. The next prime is 4493209267. The reversal of 4493209248 is 8429023944.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (4493209247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 181623 + ... + 204873.

It is an arithmetic number, because the mean of its divisors is an integer number (98390838).

Almost surely, 24493209248 is an apocalyptic number.

4493209248 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4493209248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7084140336).

4493209248 is an abundant number, since it is smaller than the sum of its proper divisors (9675071424).

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

4493209248 is a wasteful number, since it uses less digits than its factorization.

4493209248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23339 (or 23328 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 4493209248 is about 67031.4049382825. The cubic root of 4493209248 is about 1650.1327408360.

The spelling of 4493209248 in words is "four billion, four hundred ninety-three million, two hundred nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 61 66 72 88 96 99 122 132 144 176 183 198 244 264 288 352 366 396 488 528 549 671 732 792 976 1056 1098 1342 1464 1584 1952 2013 2196 2684 2928 3168 4026 4392 5368 5856 6039 8052 8784 10736 12078 16104 17568 21472 23251 24156 32208 46502 48312 64416 69753 93004 96624 139506 186008 193248 209259 255761 279012 372016 418518 511522 558024 744032 767283 837036 1023044 1116048 1418311 1534566 1674072 2046088 2232096 2301849 2836622 3069132 3348144 4092176 4254933 4603698 5673244 6138264 6696288 8184352 8509866 9207396 11346488 12276528 12764799 15601421 17019732 18414792 22692976 24553056 25529598 31202842 34039464 36829584 45385952 46804263 51059196 62405684 68078928 73659168 93608526 102118392 124811368 136157856 140412789 187217052 204236784 249622736 280825578 374434104 408473568 499245472 561651156 748868208 1123302312 1497736416 2246604624 4493209248