Search a number
-
+
2924592 = 2431129191
BaseRepresentation
bin1011001010000000110000
312111120210020
423022000300
51222041332
6142403440
733600336
oct13120060
95446706
102924592
111718320
12b90580
137b5238
14561b56
153cb82c
hex2ca030

2924592 has 80 divisors (see below), whose sum is σ = 8570880. Its totient is φ = 851200.

The previous prime is 2924587. The next prime is 2924609. The reversal of 2924592 is 2954292.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an Ulam number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15217 + ... + 15407.

It is an arithmetic number, because the mean of its divisors is an integer number (107136).

22924592 is an apocalyptic number.

2924592 is a gapful number since it is divisible by the number (22) 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 2924592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4285440).

2924592 is an abundant number, since it is smaller than the sum of its proper divisors (5646288).

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

2924592 is a wasteful number, since it uses less digits than its factorization.

2924592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 236 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 2924592 is about 1710.1438535983. The cubic root of 2924592 is about 143.0062755001.

It can be divided in two parts, 292 and 4592, that added together give a palindrome (4884).

The spelling of 2924592 in words is "two million, nine hundred twenty-four thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 33 44 48 58 66 87 88 116 132 174 176 191 232 264 319 348 382 464 528 573 638 696 764 957 1146 1276 1392 1528 1914 2101 2292 2552 3056 3828 4202 4584 5104 5539 6303 7656 8404 9168 11078 12606 15312 16617 16808 22156 25212 33234 33616 44312 50424 60929 66468 88624 100848 121858 132936 182787 243716 265872 365574 487432 731148 974864 1462296 2924592