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282800050 = 25213538209
BaseRepresentation
bin10000110110110…
…010111110110010
3201201010201201221
4100312302332302
51034344100200
644021215254
710002521641
oct2066627662
9651121657
10282800050
111356a6955
127a86152a
1346788010
14297b7358
1519c6291a
hex10db2fb2

282800050 has 48 divisors (see below), whose sum is σ = 577228680. Its totient is φ = 102435840.

The previous prime is 282800041. The next prime is 282800053. The reversal of 282800050 is 50008282.

282800050 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 2271049 + 280529001 = 1507^2 + 16749^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a junction number, because it is equal to n+sod(n) for n = 282799988 and 282800024.

It is not an unprimeable number, because it can be changed into a prime (282800053) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30346 + ... + 38554.

Almost surely, 2282800050 is an apocalyptic number.

282800050 is an abundant number, since it is smaller than the sum of its proper divisors (294428630).

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

282800050 is a wasteful number, since it uses less digits than its factorization.

282800050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8287 (or 8282 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 282800050 is about 16816.6598942834. The cubic root of 282800050 is about 656.3867826750.

The spelling of 282800050 in words is "two hundred eighty-two million, eight hundred thousand, fifty".

Divisors: 1 2 5 10 13 25 26 50 53 65 106 130 265 325 530 650 689 1325 1378 2650 3445 6890 8209 16418 17225 34450 41045 82090 106717 205225 213434 410450 435077 533585 870154 1067170 2175385 2667925 4350770 5335850 5656001 10876925 11312002 21753850 28280005 56560010 141400025 282800050