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275731968 = 293892017
BaseRepresentation
bin10000011011110…
…101011000000000
3201012211122011010
4100123311120000
51031041410333
643205520520
76555453201
oct2033653000
9635748133
10275731968
11131709566
1278413140
1345181b15
14288975a8
1519318563
hex106f5600

275731968 has 80 divisors (see below), whose sum is σ = 743189040. Its totient is φ = 90832896.

The previous prime is 275731943. The next prime is 275731969. The reversal of 275731968 is 869137572.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (275731969) 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, 135696 + ... + 137712.

It is an arithmetic number, because the mean of its divisors is an integer number (9289863).

Almost surely, 2275731968 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 275731968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371594520).

275731968 is an abundant number, since it is smaller than the sum of its proper divisors (467457072).

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

275731968 is an equidigital number, since it uses as much as digits as its factorization.

275731968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2127 (or 2111 counting only the distinct ones).

The product of its digits is 635040, while the sum is 48.

The square root of 275731968 is about 16605.1789511586. The cubic root of 275731968 is about 650.8721767154.

The spelling of 275731968 in words is "two hundred seventy-five million, seven hundred thirty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 89 96 128 178 192 256 267 356 384 512 534 712 768 1068 1424 1536 2017 2136 2848 4034 4272 5696 6051 8068 8544 11392 12102 16136 17088 22784 24204 32272 34176 45568 48408 64544 68352 96816 129088 136704 179513 193632 258176 359026 387264 516352 538539 718052 774528 1032704 1077078 1436104 1549056 2154156 2872208 3098112 4308312 5744416 8616624 11488832 17233248 22977664 34466496 45955328 68932992 91910656 137865984 275731968