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850401828 = 2237412371
BaseRepresentation
bin110010101100000…
…001101000100100
32012021011220000000
4302230001220210
53220200324303
6220215021300
730034203423
oct6254015044
92167156000
10850401828
113a7036531
121b896a830
1310724c163
1480d292ba
154e9d0da3
hex32b01a24

850401828 has 96 divisors (see below), whose sum is σ = 2287367040. Its totient is φ = 276436800.

The previous prime is 850401817. The next prime is 850401833. The reversal of 850401828 is 828104058.

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

It is a junction number, because it is equal to n+sod(n) for n = 850401792 and 850401801.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 357483 + ... + 359853.

It is an arithmetic number, because the mean of its divisors is an integer number (23826740).

Almost surely, 2850401828 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 850401828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1143683520).

850401828 is an abundant number, since it is smaller than the sum of its proper divisors (1436965212).

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

850401828 is a wasteful number, since it uses less digits than its factorization.

850401828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2437 (or 2417 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 850401828 is about 29161.6499533205. The cubic root of 850401828 is about 947.4174838275.

It can be divided in two parts, 85040 and 1828, that added together give a palindrome (86868).

The spelling of 850401828 in words is "eight hundred fifty million, four hundred one thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 81 82 108 123 162 164 243 246 324 369 486 492 729 738 972 1107 1458 1476 2187 2214 2371 2916 3321 4374 4428 4742 6642 7113 8748 9484 9963 13284 14226 19926 21339 28452 29889 39852 42678 59778 64017 85356 89667 97211 119556 128034 179334 192051 194422 256068 291633 358668 384102 388844 576153 583266 768204 874899 1152306 1166532 1728459 1749798 2304612 2624697 3456918 3499596 5185377 5249394 6913836 7874091 10370754 10498788 15748182 20741508 23622273 31496364 47244546 70866819 94489092 141733638 212600457 283467276 425200914 850401828