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249430743 = 32317571181
BaseRepresentation
bin11101101111000…
…00001011010111
3122101100101122200
432313200023113
51002323240433
640430055543
76116061222
oct1667401327
9571311580
10249430743
11118885011
126b64a5b3
133c8a3573
14251ac5b9
1516d70613
hexede02d7

249430743 has 24 divisors (see below), whose sum is σ = 372717696. Its totient is φ = 160574400.

The previous prime is 249430717. The next prime is 249430751. The reversal of 249430743 is 347034942.

It is not a de Polignac number, because 249430743 - 26 = 249430679 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 249430698 and 249430707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249430703) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 210613 + ... + 211793.

It is an arithmetic number, because the mean of its divisors is an integer number (15529904).

Almost surely, 2249430743 is an apocalyptic number.

249430743 is a deficient number, since it is larger than the sum of its proper divisors (123286953).

249430743 is a wasteful number, since it uses less digits than its factorization.

249430743 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1975 (or 1972 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 249430743 is about 15793.3765547460. The cubic root of 249430743 is about 629.4820156524.

The spelling of 249430743 in words is "two hundred forty-nine million, four hundred thirty thousand, seven hundred forty-three".

Divisors: 1 3 9 31 93 279 757 1181 2271 3543 6813 10629 23467 36611 70401 109833 211203 329499 894017 2682051 8046153 27714527 83143581 249430743