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248123749 is a prime number
BaseRepresentation
bin11101100101000…
…01000101100101
3122021212222210111
432302201011211
51002004424444
640342053021
76102005566
oct1662410545
9567788714
10248123749
11118072055
126b11a171
133c5366b3
1424d4c16d
1516bb3234
hexeca1165

248123749 has 2 divisors, whose sum is σ = 248123750. Its totient is φ = 248123748.

The previous prime is 248123737. The next prime is 248123761. The reversal of 248123749 is 947321842.

It is a balanced prime because it is at equal distance from previous prime (248123737) and next prime (248123761).

It can be written as a sum of positive squares in only one way, i.e., 227466724 + 20657025 = 15082^2 + 4545^2 .

It is a cyclic number.

It is not a de Polignac number, because 248123749 - 27 = 248123621 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (248123549) 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, 124061874 + 124061875.

It is an arithmetic number, because the mean of its divisors is an integer number (124061875).

Almost surely, 2248123749 is an apocalyptic number.

It is an amenable number.

248123749 is a deficient number, since it is larger than the sum of its proper divisors (1).

248123749 is an equidigital number, since it uses as much as digits as its factorization.

248123749 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 96768, while the sum is 40.

The square root of 248123749 is about 15751.9442926897. The cubic root of 248123749 is about 628.3806138312.

It can be divided in two parts, 24812 and 3749, that added together give a 4-th power (28561 = 134).

The spelling of 248123749 in words is "two hundred forty-eight million, one hundred twenty-three thousand, seven hundred forty-nine".