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4105864 = 237157467
BaseRepresentation
bin1111101010011010001000
321201121012001
433222122020
52022341424
6224000344
746620310
oct17523210
97647161
104105864
112354884
1214600b4
13b09b09
1478c440
15561844
hex3ea688

4105864 has 32 divisors (see below), whose sum is σ = 8873280. Its totient is φ = 1744704.

The previous prime is 4105861. The next prime is 4105879. The reversal of 4105864 is 4685014.

4105864 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 (28).

It is not an unprimeable number, because it can be changed into a prime (4105861) 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 7 ways as a sum of consecutive naturals, for example, 8559 + ... + 9025.

It is an arithmetic number, because the mean of its divisors is an integer number (277290).

Almost surely, 24105864 is an apocalyptic number.

It is an amenable number.

4105864 is an abundant number, since it is smaller than the sum of its proper divisors (4767416).

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

4105864 is a wasteful number, since it uses less digits than its factorization.

4105864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 4105864 is about 2026.2931673378. The cubic root of 4105864 is about 160.1283345365.

The spelling of 4105864 in words is "four million, one hundred five thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 56 157 314 467 628 934 1099 1256 1868 2198 3269 3736 4396 6538 8792 13076 26152 73319 146638 293276 513233 586552 1026466 2052932 4105864