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579742420 = 22543576653
BaseRepresentation
bin100010100011100…
…010101011010100
31111101212222002111
4202203202223110
52141403224140
6133305520404
720236505065
oct4243425324
91441788074
10579742420
11278282074
121421a3104
139315516a
1456dd256c
1535d6a7ea
hex228e2ad4

579742420 has 24 divisors (see below), whose sum is σ = 1217921544. Its totient is φ = 231808896.

The previous prime is 579742417. The next prime is 579742507. The reversal of 579742420 is 24247975.

It can be written as a sum of positive squares in 4 ways, for example, as 81649296 + 498093124 = 9036^2 + 22318^2 .

It is a super-2 number, since 2×5797424202 = 672202547094912800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 83814 + ... + 90466.

It is an arithmetic number, because the mean of its divisors is an integer number (50746731).

Almost surely, 2579742420 is an apocalyptic number.

It is an amenable number.

579742420 is an abundant number, since it is smaller than the sum of its proper divisors (638179124).

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

579742420 is a wasteful number, since it uses less digits than its factorization.

579742420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11019 (or 11017 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The square root of 579742420 is about 24077.8408500430. The cubic root of 579742420 is about 833.8316191497.

The spelling of 579742420 in words is "five hundred seventy-nine million, seven hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 4357 6653 8714 13306 17428 21785 26612 33265 43570 66530 87140 133060 28987121 57974242 115948484 144935605 289871210 579742420