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248442597 = 32137926879
BaseRepresentation
bin11101100111011…
…10111011100101
3122022111012011200
432303232323211
51002100130342
640352553113
76104504304
oct1663567345
9568435150
10248442597
1111826a667
126b252799
133c618870
1424dd243b
1516c2794c
hexeceeee5

248442597 has 24 divisors (see below), whose sum is σ = 391372800. Its totient is φ = 150946848.

The previous prime is 248442553. The next prime is 248442629. The reversal of 248442597 is 795244842.

It is not a de Polignac number, because 248442597 - 212 = 248438501 is a prime.

It is a super-3 number, since 3×2484425973 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248442697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4197 + ... + 22682.

It is an arithmetic number, because the mean of its divisors is an integer number (16307200).

Almost surely, 2248442597 is an apocalyptic number.

It is an amenable number.

248442597 is a deficient number, since it is larger than the sum of its proper divisors (142930203).

248442597 is a wasteful number, since it uses less digits than its factorization.

248442597 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26977 (or 26974 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 248442597 is about 15762.0619526761. The cubic root of 248442597 is about 628.6496625641.

The spelling of 248442597 in words is "two hundred forty-eight million, four hundred forty-two thousand, five hundred ninety-seven".

Divisors: 1 3 9 13 39 79 117 237 711 1027 3081 9243 26879 80637 241911 349427 1048281 2123441 3144843 6370323 19110969 27604733 82814199 248442597