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8253359104 = 2101721672
BaseRepresentation
bin1111010111111000…
…00100010000000000
3210022012011002020211
413223330010100000
5113400324442404
63442550043504
7411345252304
oct75374042000
923265132224
108253359104
113555895941
121724049594
13a16b90753
145841b9d04
15334894b04
hex1ebf04400

8253359104 has 99 divisors (see below), whose sum is σ = 17631832453. Its totient is φ = 3860676608.

The previous prime is 8253359047. The next prime is 8253359111. The reversal of 8253359104 is 4019533528.

The square root of 8253359104 is 90848.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 6425625600 + 1827733504 = 80160^2 + 42752^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 49421229 + ... + 49421395.

Almost surely, 28253359104 is an apocalyptic number.

8253359104 is the 90848-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8253359104

8253359104 is an abundant number, since it is smaller than the sum of its proper divisors (9378473349).

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

8253359104 is an equidigital number, since it uses as much as digits as its factorization.

8253359104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 40.

The cubic root of 8253359104 is about 2020.8942144227.

The spelling of 8253359104 in words is "eight billion, two hundred fifty-three million, three hundred fifty-nine thousand, one hundred four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 167 256 272 289 334 512 544 578 668 1024 1088 1156 1336 2176 2312 2672 2839 4352 4624 5344 5678 8704 9248 10688 11356 17408 18496 21376 22712 27889 36992 42752 45424 48263 55778 73984 85504 90848 96526 111556 147968 171008 181696 193052 223112 295936 363392 386104 446224 474113 726784 772208 892448 948226 1453568 1544416 1784896 1896452 2907136 3088832 3569792 3792904 6177664 7139584 7585808 8059921 12355328 14279168 15171616 16119842 24710656 28558336 30343232 32239684 49421312 60686464 64479368 121372928 128958736 242745856 257917472 485491712 515834944 1031669888 2063339776 4126679552 8253359104