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248135649 = 31941891193
BaseRepresentation
bin11101100101000…
…11111111100001
3122021220121010020
432302203333201
51002010320044
640342224053
76102055356
oct1662437741
9567817106
10248135649
1111807aa93
126b125029
133c53bc38
1424d5262d
1516bb6a19
hexeca3fe1

248135649 has 32 divisors (see below), whose sum is σ = 361065600. Its totient is φ = 151050240.

The previous prime is 248135627. The next prime is 248135663. The reversal of 248135649 is 946531842.

It is not a de Polignac number, because 248135649 - 213 = 248127457 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 248135649.

It is not an unprimeable number, because it can be changed into a prime (248135609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 207397 + ... + 208589.

It is an arithmetic number, because the mean of its divisors is an integer number (11283300).

Almost surely, 2248135649 is an apocalyptic number.

It is an amenable number.

248135649 is a deficient number, since it is larger than the sum of its proper divisors (112929951).

248135649 is a wasteful number, since it uses less digits than its factorization.

248135649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345.

The product of its digits is 207360, while the sum is 42.

The square root of 248135649 is about 15752.3220193088. The cubic root of 248135649 is about 628.3906593694.

The spelling of 248135649 in words is "two hundred forty-eight million, one hundred thirty-five thousand, six hundred forty-nine".

Divisors: 1 3 19 41 57 89 123 267 779 1193 1691 2337 3579 3649 5073 10947 22667 48913 68001 69331 106177 146739 207993 318531 929347 2017363 2788041 4353257 6052089 13059771 82711883 248135649