Search a number
-
+
2829204 = 22327103109
BaseRepresentation
bin1010110010101110010100
312022201221100
422302232110
51211013304
6140350100
733022260
oct12625624
95281840
102829204
111662694
12b45330
137809b1
145390a0
153ad439
hex2b2b94

2829204 has 72 divisors (see below), whose sum is σ = 8328320. Its totient is φ = 793152.

The previous prime is 2829173. The next prime is 2829217. The reversal of 2829204 is 4029282.

2829204 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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25902 + ... + 26010.

22829204 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 2829204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4164160).

2829204 is an abundant number, since it is smaller than the sum of its proper divisors (5499116).

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

2829204 is a wasteful number, since it uses less digits than its factorization.

2829204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2829204 is about 1682.0237810447. The cubic root of 2829204 is about 141.4343029729.

The spelling of 2829204 in words is "two million, eight hundred twenty-nine thousand, two hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 103 109 126 206 218 252 309 327 412 436 618 654 721 763 927 981 1236 1308 1442 1526 1854 1962 2163 2289 2884 3052 3708 3924 4326 4578 6489 6867 8652 9156 11227 12978 13734 22454 25956 27468 33681 44908 67362 78589 101043 134724 157178 202086 235767 314356 404172 471534 707301 943068 1414602 2829204