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268586983 = 7219288493
BaseRepresentation
bin10000000000100…
…100111111100111
3200201101122002001
4100000210333213
51022224240413
642352430131
76440644300
oct2000447747
9621348061
10268586983
11128679415
1275b48347
134384c912
14279577a7
15188a64dd
hex10024fe7

268586983 has 12 divisors (see below), whose sum is σ = 328883160. Its totient is φ = 218099952.

The previous prime is 268586963. The next prime is 268587017. The reversal of 268586983 is 389685862.

It is a happy number.

It is not a de Polignac number, because 268586983 - 217 = 268455911 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268586933) 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 11 ways as a sum of consecutive naturals, for example, 143316 + ... + 145177.

It is an arithmetic number, because the mean of its divisors is an integer number (27406930).

Almost surely, 2268586983 is an apocalyptic number.

268586983 is a deficient number, since it is larger than the sum of its proper divisors (60296177).

268586983 is a wasteful number, since it uses less digits than its factorization.

268586983 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288526 (or 288519 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 55.

The square root of 268586983 is about 16388.6235846699. The cubic root of 268586983 is about 645.2009333316.

The spelling of 268586983 in words is "two hundred sixty-eight million, five hundred eighty-six thousand, nine hundred eighty-three".

Divisors: 1 7 19 49 133 931 288493 2019451 5481367 14136157 38369569 268586983