Search a number
-
+
204545432 = 23713221613
BaseRepresentation
bin11000011000100…
…01110110011000
3112020212222120202
430030101312120
5404330423212
632144041332
75032415240
oct1414216630
9466788522
10204545432
11a5508013
1258603248
13334b9200
141d246b20
1512e560c2
hexc311d98

204545432 has 48 divisors (see below), whose sum is σ = 474643440. Its totient is φ = 80915328.

The previous prime is 204545423. The next prime is 204545437. The reversal of 204545432 is 234545402.

It is a junction number, because it is equal to n+sod(n) for n = 204545395 and 204545404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204545437) 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, 1343 + ... + 20270.

It is an arithmetic number, because the mean of its divisors is an integer number (9888405).

Almost surely, 2204545432 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 204545432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237321720).

204545432 is an abundant number, since it is smaller than the sum of its proper divisors (270098008).

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

204545432 is a wasteful number, since it uses less digits than its factorization.

204545432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21652 (or 21635 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 29.

The square root of 204545432 is about 14301.9380504881. The cubic root of 204545432 is about 589.2007102568.

The spelling of 204545432 in words is "two hundred four million, five hundred forty-five thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 169 182 338 364 676 728 1183 1352 2366 4732 9464 21613 43226 86452 151291 172904 280969 302582 561938 605164 1123876 1210328 1966783 2247752 3652597 3933566 7305194 7867132 14610388 15734264 25568179 29220776 51136358 102272716 204545432