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205376052 = 22373411217
BaseRepresentation
bin11000011110111…
…00101000110100
3112022110011222110
430033130220310
5410034013202
632213531020
75042445000
oct1417345064
9468404873
10205376052
11a5a25082
1258943a70
133371a2bb
141d3c1700
151306c26c
hexc3dca34

205376052 has 96 divisors (see below), whose sum is σ = 572947200. Its totient is φ = 57200640.

The previous prime is 205376047. The next prime is 205376069. The reversal of 205376052 is 250673502.

205376052 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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 168148 + ... + 169364.

It is an arithmetic number, because the mean of its divisors is an integer number (5968200).

Almost surely, 2205376052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205376052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286473600).

205376052 is an abundant number, since it is smaller than the sum of its proper divisors (367571148).

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

205376052 is a wasteful number, since it uses less digits than its factorization.

205376052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1286 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 30.

The square root of 205376052 is about 14330.9473517978. The cubic root of 205376052 is about 589.9971770429.

The spelling of 205376052 in words is "two hundred five million, three hundred seventy-six thousand, fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 49 82 84 98 123 147 164 196 246 287 294 343 492 574 588 686 861 1029 1148 1217 1372 1722 2009 2058 2434 3444 3651 4018 4116 4868 6027 7302 8036 8519 12054 14063 14604 17038 24108 25557 28126 34076 42189 49897 51114 56252 59633 84378 99794 102228 119266 149691 168756 178899 199588 238532 299382 349279 357798 417431 598764 698558 715596 834862 1047837 1252293 1397116 1669724 2095674 2444953 2504586 4191348 4889906 5009172 7334859 9779812 14669718 17114671 29339436 34229342 51344013 68458684 102688026 205376052