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253000305 = 32537315073
BaseRepresentation
bin11110001010001…
…11101001110001
3122122001202011200
433011013221301
51004232002210
641034401413
76161316135
oct1705075161
9578052150
10253000305
1111a8a2968
1270890269
134055322c
142585b3c5
15173280c0
hexf147a71

253000305 has 24 divisors (see below), whose sum is σ = 439738728. Its totient is φ = 134562816.

The previous prime is 253000301. The next prime is 253000327. The reversal of 253000305 is 503000352.

It can be written as a sum of positive squares in 4 ways, for example, as 27279729 + 225720576 = 5223^2 + 15024^2 .

It is not a de Polignac number, because 253000305 - 22 = 253000301 is a prime.

It is not an unprimeable number, because it can be changed into a prime (253000301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9249 + ... + 24321.

It is an arithmetic number, because the mean of its divisors is an integer number (18322447).

Almost surely, 2253000305 is an apocalyptic number.

It is an amenable number.

253000305 is a deficient number, since it is larger than the sum of its proper divisors (186738423).

253000305 is a wasteful number, since it uses less digits than its factorization.

253000305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15457 (or 15454 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 18.

The square root of 253000305 is about 15905.9833081768. The cubic root of 253000305 is about 632.4706084964.

Adding to 253000305 its reverse (503000352), we get a palindrome (756000657).

The spelling of 253000305 in words is "two hundred fifty-three million, three hundred five", and thus it is an aban number.

Divisors: 1 3 5 9 15 45 373 1119 1865 3357 5595 15073 16785 45219 75365 135657 226095 678285 5622229 16866687 28111145 50600061 84333435 253000305