Search a number
-
+
204040088 = 23719210093
BaseRepresentation
bin11000010100101…
…10011110011000
3112012221022101022
430022112132120
5404213240323
632125142012
75025212030
oct1412263630
9465838338
10204040088
11a51a237a
12583ba908
13333701a5
141d1548c0
1512da64c8
hexc296798

204040088 has 48 divisors (see below), whose sum is σ = 461497680. Its totient is φ = 82835136.

The previous prime is 204040063. The next prime is 204040093. The reversal of 204040088 is 880040402.

It is a super-2 number, since 2×2040400882 = 83264715022095488, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15170 + ... + 25262.

It is an arithmetic number, because the mean of its divisors is an integer number (9614535).

Almost surely, 2204040088 is an apocalyptic number.

204040088 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 204040088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230748840).

204040088 is an abundant number, since it is smaller than the sum of its proper divisors (257457592).

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

204040088 is a wasteful number, since it uses less digits than its factorization.

204040088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10144 (or 10121 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

The square root of 204040088 is about 14284.2601488492. The cubic root of 204040088 is about 588.7150893994.

The spelling of 204040088 in words is "two hundred four million, forty thousand, eighty-eight".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 266 361 532 722 1064 1444 2527 2888 5054 10093 10108 20186 20216 40372 70651 80744 141302 191767 282604 383534 565208 767068 1342369 1534136 2684738 3643573 5369476 7287146 10738952 14574292 25505011 29148584 51010022 102020044 204040088