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4106788 = 227223911
BaseRepresentation
bin1111101010101000100100
321201122110021
433222220210
52022404123
6224004524
746623100
oct17525044
97648407
104106788
112355544
121460744
13b0a36a
1478c900
15561c5d
hex3eaa24

4106788 has 36 divisors (see below), whose sum is σ = 8733312. Its totient is φ = 1681680.

The previous prime is 4106783. The next prime is 4106789. The reversal of 4106788 is 8876014.

It is a happy number.

4106788 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (4106783) 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, 4053 + ... + 4963.

It is an arithmetic number, because the mean of its divisors is an integer number (242592).

Almost surely, 24106788 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 4106788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4366656).

4106788 is an abundant number, since it is smaller than the sum of its proper divisors (4626524).

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

4106788 is a wasteful number, since it uses less digits than its factorization.

4106788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 4106788 is about 2026.5211570571. The cubic root of 4106788 is about 160.1403456084.

The spelling of 4106788 in words is "four million, one hundred six thousand, seven hundred eighty-eight".

Divisors: 1 2 4 7 14 23 28 46 49 92 98 161 196 322 644 911 1127 1822 2254 3644 4508 6377 12754 20953 25508 41906 44639 83812 89278 146671 178556 293342 586684 1026697 2053394 4106788