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248164329 = 3773915991
BaseRepresentation
bin11101100101010…
…10111111101001
3122021222001110110
432302222333221
51002012224304
640343004533
76102235110
oct1662527751
9567861413
10248164329
1111809a596
126b139749
133c54bcca
1424d5cc77
1516bc0289
hexecaafe9

248164329 has 16 divisors (see below), whose sum is σ = 378690560. Its totient is φ = 141607440.

The previous prime is 248164327. The next prime is 248164363. The reversal of 248164329 is 923461842.

It is not a de Polignac number, because 248164329 - 21 = 248164327 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (248164327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7524 + ... + 23514.

It is an arithmetic number, because the mean of its divisors is an integer number (23668160).

Almost surely, 2248164329 is an apocalyptic number.

It is an amenable number.

248164329 is a deficient number, since it is larger than the sum of its proper divisors (130526231).

248164329 is a wasteful number, since it uses less digits than its factorization.

248164329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16740.

The product of its digits is 82944, while the sum is 39.

The square root of 248164329 is about 15753.2323349845. The cubic root of 248164329 is about 628.4148686408.

The spelling of 248164329 in words is "two hundred forty-eight million, one hundred sixty-four thousand, three hundred twenty-nine".

Divisors: 1 3 7 21 739 2217 5173 15519 15991 47973 111937 335811 11817349 35452047 82721443 248164329