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268538076 = 223246715973
BaseRepresentation
bin10000000000011…
…001000011011100
3200201022010222200
4100000121003130
51022221204301
642351411500
76440351562
oct2000310334
9621263880
10268538076
111286456a4
1275b23b90
1343833591
1427943a32
1518896c86
hex100190dc

268538076 has 36 divisors (see below), whose sum is σ = 680300712. Its totient is φ = 89315424.

The previous prime is 268538063. The next prime is 268538107. The reversal of 268538076 is 670835862.

268538076 is a `hidden beast` number, since 268 + 5 + 380 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×2685380762 = 144225396523563552, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8826 + ... + 24798.

It is an arithmetic number, because the mean of its divisors is an integer number (18897242).

Almost surely, 2268538076 is an apocalyptic number.

It is an amenable number.

268538076 is an abundant number, since it is smaller than the sum of its proper divisors (411762636).

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

268538076 is a wasteful number, since it uses less digits than its factorization.

268538076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16450 (or 16445 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 268538076 is about 16387.1314146192. The cubic root of 268538076 is about 645.1617694114.

The spelling of 268538076 in words is "two hundred sixty-eight million, five hundred thirty-eight thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 467 934 1401 1868 2802 4203 5604 8406 15973 16812 31946 47919 63892 95838 143757 191676 287514 575028 7459391 14918782 22378173 29837564 44756346 67134519 89512692 134269038 268538076