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248123819 is a prime number
BaseRepresentation
bin11101100101000…
…01000110101011
3122021212222220002
432302201012223
51002004430234
640342053215
76102006026
oct1662410653
9567788802
10248123819
11118072109
126b11a20b
133c536738
1424d4c1bd
1516bb327e
hexeca11ab

248123819 has 2 divisors, whose sum is σ = 248123820. Its totient is φ = 248123818.

The previous prime is 248123761. The next prime is 248123833. The reversal of 248123819 is 918321842.

248123819 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-248123819 is a prime.

It is a super-2 number, since 2×2481238192 = 123130859110289522, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (248123879) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 124061909 + 124061910.

It is an arithmetic number, because the mean of its divisors is an integer number (124061910).

Almost surely, 2248123819 is an apocalyptic number.

248123819 is a deficient number, since it is larger than the sum of its proper divisors (1).

248123819 is an equidigital number, since it uses as much as digits as its factorization.

248123819 is an evil number, because the sum of its binary digits is even.

The product of its digits is 27648, while the sum is 38.

The square root of 248123819 is about 15751.9465146375. The cubic root of 248123819 is about 628.3806729236.

The spelling of 248123819 in words is "two hundred forty-eight million, one hundred twenty-three thousand, eight hundred nineteen".