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4106772 = 2232114077
BaseRepresentation
bin1111101010101000010100
321201122102200
433222220110
52022404042
6224004500
746623045
oct17525024
97648380
104106772
11235552a
121460730
13b0a357
1478c8cc
15561c4c
hex3eaa14

4106772 has 18 divisors (see below), whose sum is σ = 10381098. Its totient is φ = 1368912.

The previous prime is 4106771. The next prime is 4106779. The reversal of 4106772 is 2776014.

4106772 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., 2268036 + 1838736 = 1506^2 + 1356^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4106771) 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, 57003 + ... + 57074.

Almost surely, 24106772 is an apocalyptic number.

It is an amenable number.

4106772 is an abundant number, since it is smaller than the sum of its proper divisors (6274326).

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

4106772 is a wasteful number, since it uses less digits than its factorization.

4106772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114087 (or 114082 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 4106772 is about 2026.5172094014. The cubic root of 4106772 is about 160.1401376398.

The spelling of 4106772 in words is "four million, one hundred six thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 114077 228154 342231 456308 684462 1026693 1368924 2053386 4106772