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2904924 = 2231159373
BaseRepresentation
bin1011000101001101011100
312110120210210
423011031130
51220424144
6142132420
733456111
oct13051534
95416723
102904924
111704570
12b81110
137a92b9
14558908
153c5ab9
hex2c535c

2904924 has 48 divisors (see below), whose sum is σ = 7539840. Its totient is φ = 863040.

The previous prime is 2904893. The next prime is 2904947. The reversal of 2904924 is 4294092.

2904924 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 2904891 and 2904900.

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 15 ways as a sum of consecutive naturals, for example, 7602 + ... + 7974.

It is an arithmetic number, because the mean of its divisors is an integer number (157080).

22904924 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 2904924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3769920).

2904924 is an abundant number, since it is smaller than the sum of its proper divisors (4634916).

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

2904924 is a wasteful number, since it uses less digits than its factorization.

2904924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 2904924 is about 1704.3837596035. The cubic root of 2904924 is about 142.6849798407.

It can be divided in two parts, 2904 and 924, that added together give a triangular number (3828 = T87).

The spelling of 2904924 in words is "two million, nine hundred four thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 59 66 118 132 177 236 354 373 649 708 746 1119 1298 1492 1947 2238 2596 3894 4103 4476 7788 8206 12309 16412 22007 24618 44014 49236 66021 88028 132042 242077 264084 484154 726231 968308 1452462 2904924