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268738524 = 22327464959
BaseRepresentation
bin10000000001001…
…001111111011100
3200201200022221200
4100001021333130
51022244113044
642355555500
76442145145
oct2001117734
9621608850
10268738524
1112877225a
1275bbbb90
13438a38a2
1427996acc
15188d6369
hex10049fdc

268738524 has 18 divisors (see below), whose sum is σ = 679311360. Its totient is φ = 89579496.

The previous prime is 268738523. The next prime is 268738537. The reversal of 268738524 is 425837862.

268738524 is a `hidden beast` number, since 268 + 7 + 385 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a self number, because there is not a number n which added to its sum of digits gives 268738524.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268738523) 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 5 ways as a sum of consecutive naturals, for example, 3732444 + ... + 3732515.

It is an arithmetic number, because the mean of its divisors is an integer number (37739520).

Almost surely, 2268738524 is an apocalyptic number.

It is an amenable number.

268738524 is an abundant number, since it is smaller than the sum of its proper divisors (410572836).

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

268738524 is a wasteful number, since it uses less digits than its factorization.

268738524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7464969 (or 7464964 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 268738524 is about 16393.2462922998. The cubic root of 268738524 is about 645.3222546886.

It can be divided in two parts, 26873852 and 4, that added together give a 4-th power (26873856 = 724).

The spelling of 268738524 in words is "two hundred sixty-eight million, seven hundred thirty-eight thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 7464959 14929918 22394877 29859836 44789754 67184631 89579508 134369262 268738524