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5664744 = 2332292713
BaseRepresentation
bin10101100110111111101000
3101122210120100
4111212333220
52422232434
6321225400
766102201
oct25467750
911583510
105664744
11321a008
121a92260
131234527
14a765a8
1576d699
hex566fe8

5664744 has 48 divisors (see below), whose sum is σ = 15876900. Its totient is φ = 1822464.

The previous prime is 5664731. The next prime is 5664779. The reversal of 5664744 is 4474665.

5664744 is a `hidden beast` number, since 5 + 6 + 647 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5008644 + 656100 = 2238^2 + 810^2 .

It is a super-3 number, since 3×56647443 (a number of 21 digits) contains 333 as substring.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 5664699 and 5664708.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 732 + ... + 3444.

Almost surely, 25664744 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 5664744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7938450).

5664744 is an abundant number, since it is smaller than the sum of its proper divisors (10212156).

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

5664744 is a wasteful number, since it uses less digits than its factorization.

5664744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2754 (or 2747 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 5664744 is about 2380.0722678104. The cubic root of 5664744 is about 178.2625423357.

The spelling of 5664744 in words is "five million, six hundred sixty-four thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 1044 2088 2713 5426 8139 10852 16278 21704 24417 32556 48834 65112 78677 97668 157354 195336 236031 314708 472062 629416 708093 944124 1416186 1888248 2832372 5664744