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249983041 = 71122914177
BaseRepresentation
bin11101110011001…
…11000001000001
3122102101110021011
432321213001001
51002443424131
640450000521
76123551350
oct1671470101
9572343234
10249983041
11119121a60
126b876141
133ca37a79
14252b3997
1516e2e0b1
hexee67041

249983041 has 16 divisors (see below), whose sum is σ = 313050240. Its totient is φ = 193927680.

The previous prime is 249983023. The next prime is 249983047. The reversal of 249983041 is 140389942.

It is a cyclic number.

It is not a de Polignac number, because 249983041 - 25 = 249983009 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 249982985 and 249983003.

It is not an unprimeable number, because it can be changed into a prime (249983047) 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 15 ways as a sum of consecutive naturals, for example, 10545 + ... + 24721.

It is an arithmetic number, because the mean of its divisors is an integer number (19565640).

Almost surely, 2249983041 is an apocalyptic number.

It is an amenable number.

249983041 is a deficient number, since it is larger than the sum of its proper divisors (63067199).

249983041 is a wasteful number, since it uses less digits than its factorization.

249983041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14424.

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 249983041 is about 15810.8520010782. The cubic root of 249983041 is about 629.9462799579.

The spelling of 249983041 in words is "two hundred forty-nine million, nine hundred eighty-three thousand, forty-one".

Divisors: 1 7 11 77 229 1603 2519 14177 17633 99239 155947 1091629 3246533 22725731 35711863 249983041