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248117649 = 31329431509
BaseRepresentation
bin11101100100111…
…11100110010001
3122021212200102120
432302133212101
51002004231044
640342004453
76101652033
oct1662374621
9567780376
10248117649
1111806850a
126b116729
133c5339a0
1424d49c53
1516bb1519
hexec9f991

248117649 has 32 divisors (see below), whose sum is σ = 370137600. Its totient is φ = 146791680.

The previous prime is 248117647. The next prime is 248117651. The reversal of 248117649 is 946711842.

It is an interprime number because it is at equal distance from previous prime (248117647) and next prime (248117651).

It is not a de Polignac number, because 248117649 - 21 = 248117647 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 248117649.

It is not an unprimeable number, because it can be changed into a prime (248117647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 487207 + ... + 487715.

It is an arithmetic number, because the mean of its divisors is an integer number (11566800).

Almost surely, 2248117649 is an apocalyptic number.

248117649 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

248117649 is a deficient number, since it is larger than the sum of its proper divisors (122019951).

248117649 is a wasteful number, since it uses less digits than its factorization.

248117649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985.

The product of its digits is 96768, while the sum is 42.

The square root of 248117649 is about 15751.7506646087. The cubic root of 248117649 is about 628.3754643132.

The spelling of 248117649 in words is "two hundred forty-eight million, one hundred seventeen thousand, six hundred forty-nine".

Divisors: 1 3 13 29 39 87 377 431 509 1131 1293 1527 5603 6617 12499 14761 16809 19851 37497 44283 162487 191893 219379 487461 575679 658137 2851927 6361991 8555781 19085973 82705883 248117649