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104858368 = 283173181
BaseRepresentation
bin1100100000000…
…00001100000000
321022022100122021
412100000030000
5203320431433
614223251224
72412165346
oct620001400
9238270567
10104858368
115420a70a
122b149b14
1318954c94
14dcd7996
15931422d
hex6400300

104858368 has 72 divisors (see below), whose sum is σ = 220228736. Its totient is φ = 49766400.

The previous prime is 104858353. The next prime is 104858371. The reversal of 104858368 is 863858401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 579238 + ... + 579418.

Almost surely, 2104858368 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 104858368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110114368).

104858368 is an abundant number, since it is smaller than the sum of its proper divisors (115370368).

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

104858368 is an equidigital number, since it uses as much as digits as its factorization.

104858368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 43.

The square root of 104858368 is about 10240.0374999313. The cubic root of 104858368 is about 471.5571830830.

The spelling of 104858368 in words is "one hundred four million, eight hundred fifty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 31 32 62 64 73 124 128 146 181 248 256 292 362 496 584 724 992 1168 1448 1984 2263 2336 2896 3968 4526 4672 5611 5792 7936 9052 9344 11222 11584 13213 18104 18688 22444 23168 26426 36208 44888 46336 52852 72416 89776 105704 144832 179552 211408 289664 359104 409603 422816 579328 718208 819206 845632 1436416 1638412 1691264 3276824 3382528 6553648 13107296 26214592 52429184 104858368