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5641956 = 2232532957
BaseRepresentation
bin10101100001011011100100
3101121122022100
4111201123210
52421020311
6320532100
765645565
oct25413344
911548270
105641956
113203981
121a81030
131227048
14a6c16c
15766a56
hex5616e4

5641956 has 36 divisors (see below), whose sum is σ = 14535612. Its totient is φ = 1844544.

The previous prime is 5641939. The next prime is 5641997. The reversal of 5641956 is 6591465.

5641956 is a `hidden beast` number, since 5 + 641 + 9 + 5 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2509056 + 3132900 = 1584^2 + 1770^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5641956.

It is an unprimeable number.

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, 430 + ... + 3386.

It is an arithmetic number, because the mean of its divisors is an integer number (403767).

Almost surely, 25641956 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 5641956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7267806).

5641956 is an abundant number, since it is smaller than the sum of its proper divisors (8893656).

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

5641956 is a wasteful number, since it uses less digits than its factorization.

5641956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3020 (or 3015 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 5641956 is about 2375.2801939982. The cubic root of 5641956 is about 178.0231842881.

The spelling of 5641956 in words is "five million, six hundred forty-one thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1908 2957 5914 8871 11828 17742 26613 35484 53226 106452 156721 313442 470163 626884 940326 1410489 1880652 2820978 5641956