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205124742 = 232151163463
BaseRepresentation
bin11000011100111…
…11010010000110
3112021222102020200
430032133102012
5410002442432
632204311330
75040350214
oct1416372206
9467872220
10205124742
11a5873289
1258842546
133365cab4
141d357cb4
151301ca7c
hexc39f486

205124742 has 48 divisors (see below), whose sum is σ = 451097088. Its totient is φ = 67359600.

The previous prime is 205124729. The next prime is 205124747. The reversal of 205124742 is 247421502.

205124742 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205124747) 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, 442803 + ... + 443265.

It is an arithmetic number, because the mean of its divisors is an integer number (9397856).

Almost surely, 2205124742 is an apocalyptic number.

205124742 is an abundant number, since it is smaller than the sum of its proper divisors (245972346).

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

205124742 is a wasteful number, since it uses less digits than its factorization.

205124742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 205124742 is about 14322.1765803945. The cubic root of 205124742 is about 589.7564272761.

The spelling of 205124742 in words is "two hundred five million, one hundred twenty-four thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 18 151 163 302 326 453 463 489 906 926 978 1359 1389 1467 2718 2778 2934 4167 8334 24613 49226 69913 73839 75469 139826 147678 150938 209739 221517 226407 419478 443034 452814 629217 679221 1258434 1358442 11395819 22791638 34187457 68374914 102562371 205124742