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4105872 = 243228513
BaseRepresentation
bin1111101010011010010000
321201121012100
433222122100
52022341442
6224000400
746620321
oct17523220
97647170
104105872
112354891
121460100
13b09b14
1478c448
1556184c
hex3ea690

4105872 has 30 divisors (see below), whose sum is σ = 11491142. Its totient is φ = 1368576.

The previous prime is 4105861. The next prime is 4105879. The reversal of 4105872 is 2785014.

4105872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 4064256 + 41616 = 2016^2 + 204^2 .

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (4105879) 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 5 ways as a sum of consecutive naturals, for example, 14113 + ... + 14400.

Almost surely, 24105872 is an apocalyptic number.

It is an amenable number.

4105872 is an abundant number, since it is smaller than the sum of its proper divisors (7385270).

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

4105872 is a wasteful number, since it uses less digits than its factorization.

4105872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28527 (or 28518 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 4105872 is about 2026.2951413849. The cubic root of 4105872 is about 160.1284385362.

The spelling of 4105872 in words is "four million, one hundred five thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 28513 57026 85539 114052 171078 228104 256617 342156 456208 513234 684312 1026468 1368624 2052936 4105872