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248240909 = 72192311593
BaseRepresentation
bin11101100101111…
…01101100001101
3122022002221111202
432302331230031
51002022202114
640344355245
76103004300
oct1662755415
9568087452
10248240909
11118142084
126b175b25
133c577b17
1424d7cb37
1516bd7cde
hexecbdb0d

248240909 has 24 divisors (see below), whose sum is σ = 317211840. Its totient is φ = 192798144.

The previous prime is 248240897. The next prime is 248240911. The reversal of 248240909 is 909042842.

It is not a de Polignac number, because 248240909 - 24 = 248240893 is a prime.

It is a super-2 number, since 2×2482409092 = 123247097802292562, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248240929) 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 23 ways as a sum of consecutive naturals, for example, 15617 + ... + 27209.

It is an arithmetic number, because the mean of its divisors is an integer number (13217160).

Almost surely, 2248240909 is an apocalyptic number.

It is an amenable number.

248240909 is a deficient number, since it is larger than the sum of its proper divisors (68970931).

248240909 is a wasteful number, since it uses less digits than its factorization.

248240909 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11649 (or 11642 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 248240909 is about 15755.6627597826. The cubic root of 248240909 is about 628.4795019714.

The spelling of 248240909 in words is "two hundred forty-eight million, two hundred forty thousand, nine hundred nine".

Divisors: 1 7 19 23 49 133 161 437 931 1127 3059 11593 21413 81151 220267 266639 568057 1541869 1866473 5066141 10793083 13065311 35462987 248240909