Search a number
-
+
8192052 = 223211137151
BaseRepresentation
bin11111010000000000110100
3120102012101100
4133100000310
54044121202
6451330100
7126426351
oct37200064
916365340
108192052
1146958a0
1228b0930
13190a98b
141133628
15abc41c
hex7d0034

8192052 has 72 divisors (see below), whose sum is σ = 22905792. Its totient is φ = 2448000.

The previous prime is 8192039. The next prime is 8192081. The reversal of 8192052 is 2502918.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54177 + ... + 54327.

It is an arithmetic number, because the mean of its divisors is an integer number (318136).

Almost surely, 28192052 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 8192052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11452896).

8192052 is an abundant number, since it is smaller than the sum of its proper divisors (14713740).

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

8192052 is a wasteful number, since it uses less digits than its factorization.

8192052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 8192052 is about 2862.1760952115. The cubic root of 8192052 is about 201.5877945180.

The spelling of 8192052 in words is "eight million, one hundred ninety-two thousand, fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 137 151 198 274 302 396 411 453 548 604 822 906 1233 1359 1507 1644 1661 1812 2466 2718 3014 3322 4521 4932 4983 5436 6028 6644 9042 9966 13563 14949 18084 19932 20687 27126 29898 41374 54252 59796 62061 82748 124122 186183 227557 248244 372366 455114 682671 744732 910228 1365342 2048013 2730684 4096026 8192052