Search a number
-
+
4105392 = 24331289
BaseRepresentation
bin1111101010010010110000
321201120112120
433222102300
52022333032
6223554240
746616034
oct17522260
97646476
104105392
112354495
12145b980
13b09835
1478c1c4
1556162c
hex3ea4b0

4105392 has 60 divisors (see below), whose sum is σ = 11081880. Its totient is φ = 1309440.

The previous prime is 4105391. The next prime is 4105399. The reversal of 4105392 is 2935014.

4105392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (4105391) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 46084 + ... + 46172.

It is an arithmetic number, because the mean of its divisors is an integer number (184698).

Almost surely, 24105392 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 4105392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5540940).

4105392 is an abundant number, since it is smaller than the sum of its proper divisors (6976488).

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

4105392 is a wasteful number, since it uses less digits than its factorization.

4105392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 4105392 is about 2026.1766951577. The cubic root of 4105392 is about 160.1221983152.

The spelling of 4105392 in words is "four million, one hundred five thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 89 93 124 178 186 248 267 356 372 496 534 712 744 961 1068 1424 1488 1922 2136 2759 2883 3844 4272 5518 5766 7688 8277 11036 11532 15376 16554 22072 23064 33108 44144 46128 66216 85529 132432 171058 256587 342116 513174 684232 1026348 1368464 2052696 4105392