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5530009248 = 2532191229439
BaseRepresentation
bin1010010011001110…
…10011111010100000
3112021101200120120100
411021213103322200
542311140243443
62312423142400
7254016205641
oct51147237240
915241616510
105530009248
112388600885
1210a3ba4a00
136a18bcc2a
143a66296c8
1522574b3d3
hex1499d3ea0

5530009248 has 144 divisors (see below), whose sum is σ = 15913497600. Its totient is φ = 1821519360.

The previous prime is 5530009187. The next prime is 5530009259. The reversal of 5530009248 is 8429000355.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12596613 + ... + 12597051.

It is an arithmetic number, because the mean of its divisors is an integer number (110510400).

Almost surely, 25530009248 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 5530009248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7956748800).

5530009248 is an abundant number, since it is smaller than the sum of its proper divisors (10383488352).

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

5530009248 is a wasteful number, since it uses less digits than its factorization.

5530009248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 5530009248 is about 74364.0319509371. The cubic root of 5530009248 is about 1768.3787433442.

The spelling of 5530009248 in words is "five billion, five hundred thirty million, nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 191 229 288 382 439 458 573 687 764 878 916 1146 1317 1374 1528 1719 1756 1832 2061 2292 2634 2748 3056 3438 3512 3664 3951 4122 4584 5268 5496 6112 6876 7024 7328 7902 8244 9168 10536 10992 13752 14048 15804 16488 18336 21072 21984 27504 31608 32976 42144 43739 55008 63216 65952 83849 87478 100531 126432 131217 167698 174956 201062 251547 262434 301593 335396 349912 393651 402124 503094 524868 603186 670792 699824 754641 787302 804248 904779 1006188 1049736 1206372 1341584 1399648 1509282 1574604 1608496 1809558 2012376 2099472 2412744 2683168 3018564 3149208 3216992 3619116 4024752 4198944 4825488 6037128 6298416 7238232 8049504 9650976 12074256 12596832 14476464 19201421 24148512 28952928 38402842 57604263 76805684 115208526 153611368 172812789 230417052 307222736 345625578 460834104 614445472 691251156 921668208 1382502312 1843336416 2765004624 5530009248