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855800528 = 2411371131163
BaseRepresentation
bin110011000000100…
…111101011010000
32012122100011121212
4303000213223100
53223041104103
6220530435252
730131120162
oct6300475320
92178304555
10855800528
113aa093670
121ba732b28
131083bc55b
1481932932
15501ea7d8
hex33027ad0

855800528 has 80 divisors (see below), whose sum is σ = 1875790656. Its totient is φ = 374814720.

The previous prime is 855800513. The next prime is 855800551. The reversal of 855800528 is 825008558.

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 735275 + ... + 736437.

Almost surely, 2855800528 is an apocalyptic number.

855800528 is a gapful number since it is divisible by the number (88) 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 855800528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937895328).

855800528 is an abundant number, since it is smaller than the sum of its proper divisors (1019990128).

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

855800528 is a wasteful number, since it uses less digits than its factorization.

855800528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 41.

The square root of 855800528 is about 29254.0685717389. The cubic root of 855800528 is about 949.4181212320.

The spelling of 855800528 in words is "eight hundred fifty-five million, eight hundred thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 37 44 74 88 113 148 176 226 296 407 452 592 814 904 1163 1243 1628 1808 2326 2486 3256 4181 4652 4972 6512 8362 9304 9944 12793 16724 18608 19888 25586 33448 43031 45991 51172 66896 86062 91982 102344 131419 172124 183964 204688 262838 344248 367928 473341 525676 688496 735856 946682 1051352 1445609 1893364 2102704 2891218 3786728 4862503 5782436 7573456 9725006 11564872 19450012 23129744 38900024 53487533 77800048 106975066 213950132 427900264 855800528