Search a number
-
+
4104984 = 2331359223
BaseRepresentation
bin1111101010001100011000
321201112222110
433222030120
52022324414
6223552320
746614612
oct17521430
97645873
104104984
112354154
12145b6a0
13b095b0
1478bdb2
15561459
hex3ea318

4104984 has 64 divisors (see below), whose sum is σ = 11289600. Its totient is φ = 1236096.

The previous prime is 4104977. The next prime is 4105001. The reversal of 4104984 is 4894014.

4104984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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, 18297 + ... + 18519.

It is an arithmetic number, because the mean of its divisors is an integer number (176400).

Almost surely, 24104984 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 4104984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5644800).

4104984 is an abundant number, since it is smaller than the sum of its proper divisors (7184616).

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

4104984 is a wasteful number, since it uses less digits than its factorization.

4104984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 4104984 is about 2026.0760104201. The cubic root of 4104984 is about 160.1168937449.

Adding to 4104984 its sum of digits (30), we get a palindrome (4105014).

Adding to 4104984 its reverse (4894014), we get a palindrome (8998998).

The spelling of 4104984 in words is "four million, one hundred four thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 59 78 104 118 156 177 223 236 312 354 446 472 669 708 767 892 1338 1416 1534 1784 2301 2676 2899 3068 4602 5352 5798 6136 8697 9204 11596 13157 17394 18408 23192 26314 34788 39471 52628 69576 78942 105256 157884 171041 315768 342082 513123 684164 1026246 1368328 2052492 4104984