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248518541 is a prime number
BaseRepresentation
bin11101101000000…
…01011110001101
3122022122001100102
432310001132031
51002110043131
640354340445
76105241565
oct1664013615
9568561312
10248518541
11118311727
126b28a725
133c6442bb
1425011da5
1516c401cb
hexed0178d

248518541 has 2 divisors, whose sum is σ = 248518542. Its totient is φ = 248518540.

The previous prime is 248518493. The next prime is 248518549. The reversal of 248518541 is 145815842.

248518541 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 can be written as a sum of positive squares in only one way, i.e., 208196041 + 40322500 = 14429^2 + 6350^2 .

It is a cyclic number.

It is not a de Polignac number, because 248518541 - 210 = 248517517 is a prime.

It is a super-2 number, since 2×2485185412 = 123522930441537362, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 248518495 and 248518504.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (248518549) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 124259270 + 124259271.

It is an arithmetic number, because the mean of its divisors is an integer number (124259271).

Almost surely, 2248518541 is an apocalyptic number.

It is an amenable number.

248518541 is a deficient number, since it is larger than the sum of its proper divisors (1).

248518541 is an equidigital number, since it uses as much as digits as its factorization.

248518541 is an evil number, because the sum of its binary digits is even.

The product of its digits is 51200, while the sum is 38.

The square root of 248518541 is about 15764.4708442751. The cubic root of 248518541 is about 628.7137113045.

The spelling of 248518541 in words is "two hundred forty-eight million, five hundred eighteen thousand, five hundred forty-one".