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2828275650 = 233522119929
BaseRepresentation
bin1010100010010100…
…0000111111000010
321022002220021211000
42220211000333002
521243014310100
61144351432430
7130041642414
oct25045007702
97262807730
102828275650
1112215403a2
1266b225716
13360c4a3b5
141cb8a49b4
15118472900
hexa8940fc2

2828275650 has 96 divisors (see below), whose sum is σ = 7831195200. Its totient is φ = 750556800.

The previous prime is 2828275633. The next prime is 2828275651. The reversal of 2828275650 is 565728282.

2828275650 is a `hidden beast` number, since 2 + 8 + 2 + 82 + 7 + 565 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2828275596 and 2828275605.

It is not an unprimeable number, because it can be changed into a prime (2828275651) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 279886 + ... + 289814.

It is an arithmetic number, because the mean of its divisors is an integer number (81574950).

Almost surely, 22828275650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2828275650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3915597600).

2828275650 is an abundant number, since it is smaller than the sum of its proper divisors (5002919550).

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

2828275650 is a wasteful number, since it uses less digits than its factorization.

2828275650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10161 (or 10150 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 2828275650 is about 53181.5348593852. The cubic root of 2828275650 is about 1414.1883161314.

The spelling of 2828275650 in words is "two billion, eight hundred twenty-eight million, two hundred seventy-five thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 135 150 211 225 270 422 450 633 675 1055 1266 1350 1899 2110 3165 3798 5275 5697 6330 9495 9929 10550 11394 15825 18990 19858 28485 29787 31650 47475 49645 56970 59574 89361 94950 99290 142425 148935 178722 248225 268083 284850 297870 446805 496450 536166 744675 893610 1340415 1489350 2095019 2234025 2680830 4190038 4468050 6285057 6702075 10475095 12570114 13404150 18855171 20950190 31425285 37710342 52375475 56565513 62850570 94275855 104750950 113131026 157126425 188551710 282827565 314252850 471379275 565655130 942758550 1414137825 2828275650