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523838273 = 7253201709
BaseRepresentation
bin11111001110010…
…010001101000001
31100111200202000112
4133032102031001
52033100311043
6123551401105
715660360200
oct3716221501
91314622015
10523838273
112497694a2
12127523195
13846b059a
144d7dd237
1530ec6518
hex1f392341

523838273 has 12 divisors (see below), whose sum is σ = 620863380. Its totient is φ = 440530272.

The previous prime is 523838243. The next prime is 523838333. The reversal of 523838273 is 372838325.

It can be written as a sum of positive squares in 2 ways, for example, as 272679169 + 251159104 = 16513^2 + 15848^2 .

It is not a de Polignac number, because 523838273 - 218 = 523576129 is a prime.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 523838273.

It is not an unprimeable number, because it can be changed into a prime (523838243) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 98258 + ... + 103451.

It is an arithmetic number, because the mean of its divisors is an integer number (51738615).

Almost surely, 2523838273 is an apocalyptic number.

523838273 is a gapful number since it is divisible by the number (53) formed by its first and last digit.

It is an amenable number.

523838273 is a deficient number, since it is larger than the sum of its proper divisors (97025107).

523838273 is a wasteful number, since it uses less digits than its factorization.

523838273 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201776 (or 201769 counting only the distinct ones).

The product of its digits is 241920, while the sum is 41.

The square root of 523838273 is about 22887.5134735078. The cubic root of 523838273 is about 806.1188475006.

The spelling of 523838273 in words is "five hundred twenty-three million, eight hundred thirty-eight thousand, two hundred seventy-three".

Divisors: 1 7 49 53 371 2597 201709 1411963 9883741 10690577 74834039 523838273