Search a number
-
+
205046928 = 24321783761
BaseRepresentation
bin11000011100011…
…00010010010000
3112021211110111200
430032030102100
5404443000203
632202511200
75036604312
oct1416142220
9467743450
10205046928
11a581a879
1258805500
1333633558
141d3377b2
15130049a3
hexc38c490

205046928 has 60 divisors (see below), whose sum is σ = 607609548. Its totient is φ = 64327680.

The previous prime is 205046921. The next prime is 205046971. The reversal of 205046928 is 829640502.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 113806224 + 91240704 = 10668^2 + 9552^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 205046892 and 205046901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205046921) 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, 39433 + ... + 44328.

Almost surely, 2205046928 is an apocalyptic number.

It is an amenable number.

205046928 is an abundant number, since it is smaller than the sum of its proper divisors (402562620).

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

205046928 is a wasteful number, since it uses less digits than its factorization.

205046928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83792 (or 83783 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 205046928 is about 14319.4597663459. The cubic root of 205046928 is about 589.6818432119.

The spelling of 205046928 in words is "two hundred five million, forty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 2448 83761 167522 251283 335044 502566 670088 753849 1005132 1340176 1423937 1507698 2010264 2847874 3015396 4020528 4271811 5695748 6030792 8543622 11391496 12061584 12815433 17087244 22782992 25630866 34174488 51261732 68348976 102523464 205046928