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507834393 = 311531032819
BaseRepresentation
bin11110010001001…
…111000000011001
31022101120122211020
4132101033000121
52020001200033
6122220353053
715404343513
oct3621170031
91271518736
10507834393
11240728550
121220a5789
1381299031
144b634bb3
152e8b46b3
hex1e44f019

507834393 has 32 divisors (see below), whose sum is σ = 760181760. Its totient is φ = 298933440.

The previous prime is 507834391. The next prime is 507834419. The reversal of 507834393 is 393438705.

It is a happy number.

It is not a de Polignac number, because 507834393 - 21 = 507834391 is a prime.

It is not an unprimeable number, because it can be changed into a prime (507834391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178738 + ... + 181556.

It is an arithmetic number, because the mean of its divisors is an integer number (23755680).

Almost surely, 2507834393 is an apocalyptic number.

507834393 is a gapful number since it is divisible by the number (53) formed by its first and last digit.

It is an amenable number.

507834393 is a deficient number, since it is larger than the sum of its proper divisors (252347367).

507834393 is a wasteful number, since it uses less digits than its factorization.

507834393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2989.

The product of its (nonzero) digits is 272160, while the sum is 42.

The square root of 507834393 is about 22535.1812284703. The cubic root of 507834393 is about 797.8245023961.

The spelling of 507834393 in words is "five hundred seven million, eight hundred thirty-four thousand, three hundred ninety-three".

Divisors: 1 3 11 33 53 103 159 309 583 1133 1749 2819 3399 5459 8457 16377 31009 60049 93027 149407 180147 290357 448221 871071 1643477 3193927 4930431 9581781 15388921 46166763 169278131 507834393