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249353013 = 37213130483
BaseRepresentation
bin11101101110011…
…01001100110101
3122101012110000210
432313031030311
51002313244023
640424300033
76115315500
oct1667151465
9571173023
10249353013
11118831678
126b611619
133c877080
142518c137
1516d57593
hexedcd335

249353013 has 24 divisors (see below), whose sum is σ = 416504928. Its totient is φ = 131525856.

The previous prime is 249353011. The next prime is 249353023. The reversal of 249353013 is 310353942.

It is not a de Polignac number, because 249353013 - 21 = 249353011 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249353011) 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, 63331 + ... + 67152.

It is an arithmetic number, because the mean of its divisors is an integer number (17354372).

Almost surely, 2249353013 is an apocalyptic number.

It is an amenable number.

249353013 is a deficient number, since it is larger than the sum of its proper divisors (167151915).

249353013 is a wasteful number, since it uses less digits than its factorization.

249353013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130513 (or 130506 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

The square root of 249353013 is about 15790.9155212736. The cubic root of 249353013 is about 629.4166204515.

The spelling of 249353013 in words is "two hundred forty-nine million, three hundred fifty-three thousand, thirteen".

Divisors: 1 3 7 13 21 39 49 91 147 273 637 1911 130483 391449 913381 1696279 2740143 5088837 6393667 11873953 19181001 35621859 83117671 249353013