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850521056 = 25711418419
BaseRepresentation
bin110010101100011…
…110101111100000
32012021101221112212
4302230132233200
53220213133211
6220221341252
730035211140
oct6254365740
92167357485
10850521056
113a7108070
121b8a07828
131072914c8
1480d5a920
154ea0638b
hex32b1ebe0

850521056 has 96 divisors (see below), whose sum is σ = 2138814720. Its totient is φ = 323251200.

The previous prime is 850521047. The next prime is 850521079. The reversal of 850521056 is 650125058.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96815 + ... + 105233.

It is an arithmetic number, because the mean of its divisors is an integer number (22279320).

Almost surely, 2850521056 is an apocalyptic number.

850521056 is the 16838-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 850521056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1069407360).

850521056 is an abundant number, since it is smaller than the sum of its proper divisors (1288293664).

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

850521056 is a wasteful number, since it uses less digits than its factorization.

850521056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8488 (or 8480 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 32.

The square root of 850521056 is about 29163.6941418607. The cubic root of 850521056 is about 947.4617583533.

The spelling of 850521056 in words is "eight hundred fifty million, five hundred twenty-one thousand, fifty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 41 44 56 77 82 88 112 154 164 176 224 287 308 328 352 451 574 616 656 902 1148 1232 1312 1804 2296 2464 3157 3608 4592 6314 7216 8419 9184 12628 14432 16838 25256 33676 50512 58933 67352 92609 101024 117866 134704 185218 235732 269408 345179 370436 471464 648263 690358 740872 942928 1296526 1380716 1481744 1885856 2416253 2593052 2761432 2963488 3796969 4832506 5186104 5522864 7593938 9665012 10372208 11045728 15187876 19330024 20744416 26578783 30375752 38660048 53157566 60751504 77320096 106315132 121503008 212630264 425260528 850521056