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82840225 = 521337832
BaseRepresentation
bin1001111000000…
…00101010100001
312202212201102111
410330000222201
5132201341400
612115315321
72024062456
oct474005241
9182781374
1082840225
11428410a6
12238abb41
13142160b0
14b00582d
1574153ba
hex4f00aa1

82840225 has 36 divisors (see below), whose sum is σ = 114998716. Its totient is φ = 58803840.

The previous prime is 82840223. The next prime is 82840237. The reversal of 82840225 is 52204828.

It can be written as a sum of positive squares in 6 ways, for example, as 992016 + 81848209 = 996^2 + 9047^2 .

It is not a de Polignac number, because 82840225 - 21 = 82840223 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82840223) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 998034 + ... + 998116.

Almost surely, 282840225 is an apocalyptic number.

It is an amenable number.

82840225 is a deficient number, since it is larger than the sum of its proper divisors (32158491).

82840225 is a wasteful number, since it uses less digits than its factorization.

82840225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 31.

The square root of 82840225 is about 9101.6605627764. The cubic root of 82840225 is about 435.9269878162.

The spelling of 82840225 in words is "eighty-two million, eight hundred forty thousand, two hundred twenty-five".

Divisors: 1 5 13 25 37 65 83 185 325 415 481 925 1079 2075 2405 3071 5395 6889 12025 15355 26975 34445 39923 76775 89557 172225 199615 254893 447785 998075 1274465 2238925 3313609 6372325 16568045 82840225