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509242055 = 57217122267
BaseRepresentation
bin11110010110100…
…110101011000111
31022111020011202212
4132112212223013
52020331221210
6122310454035
715422325500
oct3626465307
91274204685
10509242055
112414aa103
1212266431b
138166c97a
144b8bdba7
152ea91805
hex1e5a6ac7

509242055 has 24 divisors (see below), whose sum is σ = 752681808. Its totient is φ = 328651008.

The previous prime is 509242049. The next prime is 509242061. The reversal of 509242055 is 550242905.

509242055 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (509242049) and next prime (509242061).

It is not a de Polignac number, because 509242055 - 212 = 509237959 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56969 + ... + 65298.

It is an arithmetic number, because the mean of its divisors is an integer number (31361742).

Almost surely, 2509242055 is an apocalyptic number.

509242055 is a deficient number, since it is larger than the sum of its proper divisors (243439753).

509242055 is a wasteful number, since it uses less digits than its factorization.

509242055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122303 (or 122296 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

The square root of 509242055 is about 22566.3921573653. The cubic root of 509242055 is about 798.5609834036.

The spelling of 509242055 in words is "five hundred nine million, two hundred forty-two thousand, fifty-five".

Divisors: 1 5 7 17 35 49 85 119 245 595 833 4165 122267 611335 855869 2078539 4279345 5991083 10392695 14549773 29955415 72748865 101848411 509242055