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4068352 = 21029137
BaseRepresentation
bin1111100001010000000000
321122200201201
433201100000
52020141402
6223110544
746403041
oct17412000
97580651
104068352
112329682
121442454
13ac5a12
1477c8c8
15555687
hex3e1400

4068352 has 44 divisors (see below), whose sum is σ = 8474580. Its totient is φ = 1949696.

The previous prime is 4068349. The next prime is 4068353. The reversal of 4068352 is 2538604.

It can be written as a sum of positive squares in 2 ways, for example, as 2262016 + 1806336 = 1504^2 + 1344^2 .

It is a super-3 number, since 3×40683523 (a number of 21 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4068352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4068353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 29628 + ... + 29764.

Almost surely, 24068352 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 4068352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4237290).

4068352 is an abundant number, since it is smaller than the sum of its proper divisors (4406228).

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

4068352 is a wasteful number, since it uses less digits than its factorization.

4068352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 4068352 is about 2017.0156171929. The cubic root of 4068352 is about 159.6391869488.

The spelling of 4068352 in words is "four million, sixty-eight thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 137 232 256 274 464 512 548 928 1024 1096 1856 2192 3712 3973 4384 7424 7946 8768 14848 15892 17536 29696 31784 35072 63568 70144 127136 140288 254272 508544 1017088 2034176 4068352