Search a number
-
+
827285228 = 227211234883
BaseRepresentation
bin110001010011110…
…101111011101100
32010122200102222122
4301103311323230
53143241111403
6214031332112
726333544200
oct6123657354
92118612878
10827285228
11394a87700
121b1081038
131025172b3
147bc2cb00
154c966838
hex314f5eec

827285228 has 54 divisors (see below), whose sum is σ = 1851189228. Its totient is φ = 322309680.

The previous prime is 827285209. The next prime is 827285231. The reversal of 827285228 is 822582728.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6275 + ... + 41157.

It is an arithmetic number, because the mean of its divisors is an integer number (34281282).

Almost surely, 2827285228 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 827285228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925594614).

827285228 is an abundant number, since it is smaller than the sum of its proper divisors (1023904000).

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

827285228 is a wasteful number, since it uses less digits than its factorization.

827285228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34923 (or 34903 counting only the distinct ones).

The product of its digits is 286720, while the sum is 44.

The square root of 827285228 is about 28762.5664362553. The cubic root of 827285228 is about 938.7539049236.

The spelling of 827285228 in words is "eight hundred twenty-seven million, two hundred eighty-five thousand, two hundred twenty-eight".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 121 154 196 242 308 484 539 847 1078 1694 2156 3388 5929 11858 23716 34883 69766 139532 244181 383713 488362 767426 976724 1534852 1709267 2685991 3418534 4220843 5371982 6837068 8441686 10743964 16883372 18801937 29545901 37603874 59091802 75207748 118183604 206821307 413642614 827285228