Search a number
-
+
203838628 = 22725917627
BaseRepresentation
bin11000010011001…
…01010010100100
3112012120002000211
430021211102210
5404140314003
632120545204
75023412500
oct1411452244
9465502024
10203838628
11a5074a84
1258322204
13332cc596
141d101300
1512d6696d
hexc2654a4

203838628 has 36 divisors (see below), whose sum is σ = 422014320. Its totient is φ = 85873872.

The previous prime is 203838563. The next prime is 203838629. The reversal of 203838628 is 826838302.

It is not an unprimeable number, because it can be changed into a prime (203838629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2751 + ... + 20377.

It is an arithmetic number, because the mean of its divisors is an integer number (11722620).

Almost surely, 2203838628 is an apocalyptic number.

203838628 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203838628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211007160).

203838628 is an abundant number, since it is smaller than the sum of its proper divisors (218175692).

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

203838628 is a wasteful number, since it uses less digits than its factorization.

203838628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17704 (or 17695 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The square root of 203838628 is about 14277.2065895258. The cubic root of 203838628 is about 588.5212686674.

The spelling of 203838628 in words is "two hundred three million, eight hundred thirty-eight thousand, six hundred twenty-eight".

Divisors: 1 2 4 7 14 28 49 59 98 118 196 236 413 826 1652 2891 5782 11564 17627 35254 70508 123389 246778 493556 863723 1039993 1727446 2079986 3454892 4159972 7279951 14559902 29119804 50959657 101919314 203838628