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78132349 is a prime number
BaseRepresentation
bin1001010100000…
…11010001111101
312110000112102201
410222003101331
5130000213344
611430351501
71636054051
oct452032175
9173015381
1078132349
1140115a99
12221bb591
1313258279
14a53bc61
156cd54d4
hex4a8347d

78132349 has 2 divisors, whose sum is σ = 78132350. Its totient is φ = 78132348.

The previous prime is 78132337. The next prime is 78132361. The reversal of 78132349 is 94323187.

It is a balanced prime because it is at equal distance from previous prime (78132337) and next prime (78132361).

It can be written as a sum of positive squares in only one way, i.e., 45562500 + 32569849 = 6750^2 + 5707^2 .

It is a cyclic number.

It is not a de Polignac number, because 78132349 - 217 = 78001277 is a prime.

It is a super-2 number, since 2×781323492 = 12209327920515602, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (78132319) 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 as a sum of consecutive naturals, namely, 39066174 + 39066175.

It is an arithmetic number, because the mean of its divisors is an integer number (39066175).

Almost surely, 278132349 is an apocalyptic number.

It is an amenable number.

78132349 is a deficient number, since it is larger than the sum of its proper divisors (1).

78132349 is an equidigital number, since it uses as much as digits as its factorization.

78132349 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 36288, while the sum is 37.

The square root of 78132349 is about 8839.2504772746. The cubic root of 78132349 is about 427.5073906363.

The spelling of 78132349 in words is "seventy-eight million, one hundred thirty-two thousand, three hundred forty-nine".