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204942129 = 37107223409
BaseRepresentation
bin11000011011100…
…10101100110001
3112021122010202020
430031302230301
5404431122004
632200342053
75035656630
oct1415625461
9467563666
10204942129
11a5759067
1258774929
13335c7942
141d30b517
1512ed38d9
hexc372b31

204942129 has 32 divisors (see below), whose sum is σ = 317399040. Its totient is φ = 115212672.

The previous prime is 204942109. The next prime is 204942131. The reversal of 204942129 is 921249402.

204942129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 204942129 - 28 = 204941873 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 204942129.

It is not an unprimeable number, because it can be changed into a prime (204942109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 500877 + ... + 501285.

It is an arithmetic number, because the mean of its divisors is an integer number (9918720).

Almost surely, 2204942129 is an apocalyptic number.

It is an amenable number.

204942129 is a deficient number, since it is larger than the sum of its proper divisors (112456911).

204942129 is a wasteful number, since it uses less digits than its factorization.

204942129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749.

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 204942129 is about 14315.7999776471. The cubic root of 204942129 is about 589.5813644266.

The spelling of 204942129 in words is "two hundred four million, nine hundred forty-two thousand, one hundred twenty-nine".

Divisors: 1 3 7 21 107 223 321 409 669 749 1227 1561 2247 2863 4683 8589 23861 43763 71583 91207 131289 167027 273621 306341 501081 638449 919023 1915347 9759149 29277447 68314043 204942129