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249745664 = 287139367
BaseRepresentation
bin11101110001011…
…01000100000000
3122101221101122102
432320231010000
51002413330124
640440525532
76121542320
oct1670550400
9571841572
10249745664
11118a7a683
126b7808a8
133c9839cc
1425251280
1516dd3aae
hexee2d100

249745664 has 36 divisors (see below), whose sum is σ = 569736384. Its totient is φ = 107033088.

The previous prime is 249745619. The next prime is 249745669. The reversal of 249745664 is 466547942.

It is not an unprimeable number, because it can be changed into a prime (249745669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 67892 + ... + 71475.

Almost surely, 2249745664 is an apocalyptic number.

It is an amenable number.

249745664 is an abundant number, since it is smaller than the sum of its proper divisors (319990720).

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

249745664 is an equidigital number, since it uses as much as digits as its factorization.

249745664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139390 (or 139376 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 47.

The square root of 249745664 is about 15803.3434437147. The cubic root of 249745664 is about 629.7468236084.

The spelling of 249745664 in words is "two hundred forty-nine million, seven hundred forty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 896 1792 139367 278734 557468 975569 1114936 1951138 2229872 3902276 4459744 7804552 8919488 15609104 17838976 31218208 35677952 62436416 124872832 249745664