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249687945 = 32513616997
BaseRepresentation
bin11101110000111…
…10111110001001
3122101211110110200
432320132332021
51002410003240
640435402413
76121212123
oct1670367611
9571743420
10249687945
11118a40281
126b753409
133c963660
1425238213
1516dc1930
hexee1ef89

249687945 has 48 divisors (see below), whose sum is σ = 473792592. Its totient is φ = 120890880.

The previous prime is 249687937. The next prime is 249687967. The reversal of 249687945 is 549786942.

It can be written as a sum of positive squares in 8 ways, for example, as 94012416 + 155675529 = 9696^2 + 12477^2 .

It is not a de Polignac number, because 249687945 - 23 = 249687937 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 249687891 and 249687900.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 32187 + ... + 39183.

It is an arithmetic number, because the mean of its divisors is an integer number (9870679).

Almost surely, 2249687945 is an apocalyptic number.

It is an amenable number.

249687945 is a deficient number, since it is larger than the sum of its proper divisors (224104647).

249687945 is a wasteful number, since it uses less digits than its factorization.

249687945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7082 (or 7079 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 249687945 is about 15801.5171739931. The cubic root of 249687945 is about 629.6983060394.

The spelling of 249687945 in words is "two hundred forty-nine million, six hundred eighty-seven thousand, nine hundred forty-five".

Divisors: 1 3 5 9 13 15 39 45 61 65 117 183 195 305 549 585 793 915 2379 2745 3965 6997 7137 11895 20991 34985 35685 62973 90961 104955 272883 314865 426817 454805 818649 1280451 1364415 2134085 3841353 4093245 5548621 6402255 16645863 19206765 27743105 49937589 83229315 249687945