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275406016 = 26107131307
BaseRepresentation
bin10000011010100…
…101110011000000
3201012020002000211
4100122211303000
51031000443031
643154523504
76552624664
oct2032456300
9635202024
10275406016
11131506686
1278296594
1345099652
14288108a4
15192a1bb1
hex106a5cc0

275406016 has 56 divisors (see below), whose sum is σ = 557637696. Its totient is φ = 134933760.

The previous prime is 275405959. The next prime is 275406017. The reversal of 275406016 is 610604572.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (275406017) 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 7 ways as a sum of consecutive naturals, for example, 896935 + ... + 897241.

It is an arithmetic number, because the mean of its divisors is an integer number (9957816).

Almost surely, 2275406016 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 275406016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278818848).

275406016 is an abundant number, since it is smaller than the sum of its proper divisors (282231680).

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

275406016 is a wasteful number, since it uses less digits than its factorization.

275406016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 275406016 is about 16595.3612795865. The cubic root of 275406016 is about 650.6156029830.

The spelling of 275406016 in words is "two hundred seventy-five million, four hundred six thousand, sixteen".

Divisors: 1 2 4 8 16 32 64 107 131 214 262 307 428 524 614 856 1048 1228 1712 2096 2456 3424 4192 4912 6848 8384 9824 14017 19648 28034 32849 40217 56068 65698 80434 112136 131396 160868 224272 262792 321736 448544 525584 643472 897088 1051168 1286944 2102336 2573888 4303219 8606438 17212876 34425752 68851504 137703008 275406016