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4468644 = 22321011229
BaseRepresentation
bin10001000010111110100100
322102000211100
4101002332210
52120444034
6235440100
752661055
oct21027644
98360740
104468644
1125823a4
1215b6030
13c05c8b
1484472c
155d4099
hex442fa4

4468644 has 36 divisors (see below), whose sum is σ = 11416860. Its totient is φ = 1473600.

The previous prime is 4468643. The next prime is 4468649.

4468644 is a `hidden beast` number, since 4 + 4 + 6 + 8 + 644 = 666.

4468644 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 4359744 + 108900 = 2088^2 + 330^2 .

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

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 = 4468599 and 4468608.

It is not an unprimeable number, because it can be changed into a prime (4468643) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3022 + ... + 4250.

It is an arithmetic number, because the mean of its divisors is an integer number (317135).

Almost surely, 24468644 is an apocalyptic number.

It is an amenable number.

4468644 is an abundant number, since it is smaller than the sum of its proper divisors (6948216).

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

4468644 is a wasteful number, since it uses less digits than its factorization.

4468644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1340 (or 1335 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 4468644 is about 2113.9167438667. The cubic root of 4468644 is about 164.7120045043.

The spelling of 4468644 in words is "four million, four hundred sixty-eight thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 101 202 303 404 606 909 1212 1229 1818 2458 3636 3687 4916 7374 11061 14748 22122 44244 124129 248258 372387 496516 744774 1117161 1489548 2234322 4468644