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248424813 = 3471333703
BaseRepresentation
bin11101100111010…
…10100101101101
3122022110021210000
432303222211231
51002044043223
640352334513
76104401410
oct1663524555
9568407700
10248424813
1111825826a
126b244439
133c610740
1424dc9b77
1516c22543
hexecea96d

248424813 has 40 divisors (see below), whose sum is σ = 456756608. Its totient is φ = 131033376.

The previous prime is 248424797. The next prime is 248424821. The reversal of 248424813 is 318424842.

It is not a de Polignac number, because 248424813 - 24 = 248424797 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248424013) 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 39 ways as a sum of consecutive naturals, for example, 9481 + ... + 24222.

Almost surely, 2248424813 is an apocalyptic number.

It is an amenable number.

248424813 is a deficient number, since it is larger than the sum of its proper divisors (208331795).

248424813 is a wasteful number, since it uses less digits than its factorization.

248424813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33735 (or 33726 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 248424813 is about 15761.4978031912. The cubic root of 248424813 is about 628.6346622213.

The spelling of 248424813 in words is "two hundred forty-eight million, four hundred twenty-four thousand, eight hundred thirteen".

Divisors: 1 3 7 9 13 21 27 39 63 81 91 117 189 273 351 567 819 1053 2457 7371 33703 101109 235921 303327 438139 707763 909981 1314417 2123289 2729943 3066973 3943251 6369867 9200919 11829753 19109601 27602757 35489259 82808271 248424813