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276538768 = 241119412017
BaseRepresentation
bin10000011110111…
…010010110010000
3201021100121212121
4100132322112100
51031243220033
643235104024
76565353322
oct2036722620
9637317777
10276538768
1113210a740
1278742014
13453a510c
1428a27612
151942762d
hex107ba590

276538768 has 80 divisors (see below), whose sum is σ = 630584640. Its totient is φ = 116121600.

The previous prime is 276538739. The next prime is 276538771. The reversal of 276538768 is 867835672.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 136096 + ... + 138112.

It is an arithmetic number, because the mean of its divisors is an integer number (7882308).

Almost surely, 2276538768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 276538768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315292320).

276538768 is an abundant number, since it is smaller than the sum of its proper divisors (354045872).

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

276538768 is a wasteful number, since it uses less digits than its factorization.

276538768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2096 (or 2090 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 52.

The square root of 276538768 is about 16629.4548317135. The cubic root of 276538768 is about 651.5063823790.

The spelling of 276538768 in words is "two hundred seventy-six million, five hundred thirty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 11 16 19 22 38 41 44 76 82 88 152 164 176 209 304 328 418 451 656 779 836 902 1558 1672 1804 2017 3116 3344 3608 4034 6232 7216 8068 8569 12464 16136 17138 22187 32272 34276 38323 44374 68552 76646 82697 88748 137104 153292 165394 177496 306584 330788 354992 421553 613168 661576 843106 909667 1323152 1571243 1686212 1819334 3142486 3372424 3638668 6284972 6744848 7277336 12569944 14554672 17283673 25139888 34567346 69134692 138269384 276538768