Search a number
-
+
203933492 = 22723761461
BaseRepresentation
bin11000010011111…
…00011100110100
3112012201220011022
430021330130310
5404201332432
632123000312
75024256200
oct1411743464
9465656138
10203933492
11a512a284
1258369098
1333333809
141d127b00
1512d84b12
hexc27c734

203933492 has 72 divisors (see below), whose sum is σ = 434300328. Its totient is φ = 83462400.

The previous prime is 203933491. The next prime is 203933537. The reversal of 203933492 is 294339302.

203933492 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 10278436 + 193655056 = 3206^2 + 13916^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203933491) 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, 442142 + ... + 442602.

It is an arithmetic number, because the mean of its divisors is an integer number (6031949).

Almost surely, 2203933492 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 203933492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217150164).

203933492 is an abundant number, since it is smaller than the sum of its proper divisors (230366836).

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

203933492 is a wasteful number, since it uses less digits than its factorization.

203933492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 35.

The square root of 203933492 is about 14280.5284215956. The cubic root of 203933492 is about 588.6125513709.

The spelling of 203933492 in words is "two hundred three million, nine hundred thirty-three thousand, four hundred ninety-two".

Divisors: 1 2 4 7 14 28 37 49 61 74 98 122 148 196 244 259 427 461 518 854 922 1036 1708 1813 1844 2257 2989 3227 3626 4514 5978 6454 7252 9028 11956 12908 15799 17057 22589 28121 31598 34114 45178 56242 63196 68228 90356 110593 112484 119399 196847 221186 238798 393694 442372 477596 787388 835793 1040477 1377929 1671586 2080954 2755858 3343172 4161908 5511716 7283339 14566678 29133356 50983373 101966746 203933492