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249332944 = 2474095443
BaseRepresentation
bin11101101110010…
…00010011010000
3122101011102111111
432313020103100
51002312123234
640424023104
76115203130
oct1667102320
9571142444
10249332944
11118818593
126b601a94
133c86abb3
1425184ac0
1516d51664
hexedc84d0

249332944 has 40 divisors (see below), whose sum is σ = 553545920. Its totient is φ = 106576128.

The previous prime is 249332939. The next prime is 249332947. The reversal of 249332944 is 449233942.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 249332897 and 249332906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249332947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43087 + ... + 48529.

It is an arithmetic number, because the mean of its divisors is an integer number (13838648).

Almost surely, 2249332944 is an apocalyptic number.

It is an amenable number.

249332944 is an abundant number, since it is smaller than the sum of its proper divisors (304212976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

249332944 is a wasteful number, since it uses less digits than its factorization.

249332944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5867 (or 5861 counting only the distinct ones).

The product of its digits is 186624, while the sum is 40.

The square root of 249332944 is about 15790.2800481815. The cubic root of 249332944 is about 629.3997339487.

The spelling of 249332944 in words is "two hundred forty-nine million, three hundred thirty-two thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 409 818 1636 2863 3272 5443 5726 6544 10886 11452 21772 22904 38101 43544 45808 76202 87088 152404 304808 609616 2226187 4452374 8904748 15583309 17809496 31166618 35618992 62333236 124666472 249332944