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249768141 = 373242729
BaseRepresentation
bin11101110001100…
…10100011001101
3122101222112110220
432320302203031
51002420040031
640441221553
76121665000
oct1670624315
9571875426
10249768141
11118a95557
126b7918b9
133c990ccc
1425259537
1516dda596
hexee328cd

249768141 has 16 divisors (see below), whose sum is σ = 388368000. Its totient is φ = 142724064.

The previous prime is 249768133. The next prime is 249768149. The reversal of 249768141 is 141867942.

It is an interprime number because it is at equal distance from previous prime (249768133) and next prime (249768149).

It is not a de Polignac number, because 249768141 - 23 = 249768133 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 249768093 and 249768102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249768149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120336 + ... + 122393.

It is an arithmetic number, because the mean of its divisors is an integer number (24273000).

Almost surely, 2249768141 is an apocalyptic number.

249768141 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

249768141 is a deficient number, since it is larger than the sum of its proper divisors (138599859).

249768141 is an equidigital number, since it uses as much as digits as its factorization.

249768141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242753 (or 242739 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 249768141 is about 15804.0545746970. The cubic root of 249768141 is about 629.7657153541.

The spelling of 249768141 in words is "two hundred forty-nine million, seven hundred sixty-eight thousand, one hundred forty-one".

Divisors: 1 3 7 21 49 147 343 1029 242729 728187 1699103 5097309 11893721 35681163 83256047 249768141