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83061225 = 32521373389
BaseRepresentation
bin1001111001101…
…10100111101001
312210021221120200
410330312213221
5132230424400
612124142413
72026003002
oct474664751
9183257520
1083061225
1142982145
1223997a09
1314292870
14b0621a9
15745ab00
hex4f369e9

83061225 has 72 divisors (see below), whose sum is σ = 162828120. Its totient is φ = 40227840.

The previous prime is 83061193. The next prime is 83061227. The reversal of 83061225 is 52216038.

It can be written as a sum of positive squares in 12 ways, for example, as 45643536 + 37417689 = 6756^2 + 6117^2 .

It is not a de Polignac number, because 83061225 - 25 = 83061193 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83061227) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 213331 + ... + 213719.

Almost surely, 283061225 is an apocalyptic number.

It is an amenable number.

83061225 is a deficient number, since it is larger than the sum of its proper divisors (79766895).

83061225 is a wasteful number, since it uses less digits than its factorization.

83061225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 83061225 is about 9113.7931181260. The cubic root of 83061225 is about 436.3142969191.

The spelling of 83061225 in words is "eighty-three million, sixty-one thousand, two hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 73 75 117 195 219 225 325 365 389 585 657 949 975 1095 1167 1825 1945 2847 2925 3285 3501 4745 5057 5475 5835 8541 9725 14235 15171 16425 17505 23725 25285 28397 29175 42705 45513 71175 75855 85191 87525 126425 141985 213525 227565 255573 369161 379275 425955 709925 1107483 1137825 1277865 1845805 2129775 3322449 5537415 6389325 9229025 16612245 27687075 83061225