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275577380 = 225133493037
BaseRepresentation
bin10000011011001…
…111101000100100
3201012112210002122
4100123033220210
51031021434010
643202325112
76554240411
oct2033175044
9635483078
10275577380
11131613401
1278359798
1345129650
1428857108
15192d7855
hex106cfa24

275577380 has 48 divisors (see below), whose sum is σ = 625220400. Its totient is φ = 101426688.

The previous prime is 275577353. The next prime is 275577391. The reversal of 275577380 is 83775572.

It can be written as a sum of positive squares in 8 ways, for example, as 614656 + 274962724 = 784^2 + 16582^2 .

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, 89222 + ... + 92258.

It is an arithmetic number, because the mean of its divisors is an integer number (13025425).

Almost surely, 2275577380 is an apocalyptic number.

275577380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 275577380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312610200).

275577380 is an abundant number, since it is smaller than the sum of its proper divisors (349643020).

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

275577380 is a wasteful number, since it uses less digits than its factorization.

275577380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3408 (or 3406 counting only the distinct ones).

The product of its (nonzero) digits is 411600, while the sum is 44.

The square root of 275577380 is about 16600.5234857218. The cubic root of 275577380 is about 650.7505177021.

The spelling of 275577380 in words is "two hundred seventy-five million, five hundred seventy-seven thousand, three hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 349 698 1396 1745 3037 3490 4537 6074 6980 9074 12148 15185 18148 22685 30370 39481 45370 60740 78962 90740 157924 197405 394810 789620 1059913 2119826 4239652 5299565 10599130 13778869 21198260 27557738 55115476 68894345 137788690 275577380