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275279648 = 25724192
BaseRepresentation
bin10000011010000…
…110111100100000
3201011222122200112
4100122012330200
51030432422043
643152110452
76551560400
oct2032067440
9634878615
10275279648
1113142a746
1278235428
1345053c87
14287ba800
1519279518
hex10686f20

275279648 has 54 divisors (see below), whose sum is σ = 631947771. Its totient is φ = 117695424.

The previous prime is 275279647. The next prime is 275279677. The reversal of 275279648 is 846972572.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 137639824 + 137639824 = 11732^2 + 11732^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=11732.

It is a junction number, because it is equal to n+sod(n) for n = 275279596 and 275279605.

It is not an unprimeable number, because it can be changed into a prime (275279647) 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 8 ways as a sum of consecutive naturals, for example, 656783 + ... + 657201.

Almost surely, 2275279648 is an apocalyptic number.

275279648 is a gapful number since it is divisible by the number (28) 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 275279648

275279648 is an abundant number, since it is smaller than the sum of its proper divisors (356668123).

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

275279648 is an frugal number, since it uses more digits than its factorization.

275279648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 428 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 50.

The square root of 275279648 is about 16591.5535137612. The cubic root of 275279648 is about 650.5160777175.

Multiplying 275279648 by its sum of digits (50), we get a square (13763982400 = 1173202).

The spelling of 275279648 in words is "two hundred seventy-five million, two hundred seventy-nine thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 419 784 838 1568 1676 2933 3352 5866 6704 11732 13408 20531 23464 41062 46928 82124 93856 164248 175561 328496 351122 656992 702244 1228927 1404488 2457854 2808976 4915708 5617952 8602489 9831416 17204978 19662832 34409956 39325664 68819912 137639824 275279648