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4442823 = 337112137
BaseRepresentation
bin10000111100101011000111
322100201102000
4100330223013
52114132243
6235120343
752522560
oct20745307
98321360
104442823
112564a60
1215a30b3
13bc72b8
14839167
155cb5d3
hex43cac7

4442823 has 32 divisors (see below), whose sum is σ = 8209920. Its totient is φ = 2306880.

The previous prime is 4442819. The next prime is 4442839. The reversal of 4442823 is 3282444.

It is a happy number.

It is not a de Polignac number, because 4442823 - 22 = 4442819 is a prime.

It is a super-3 number, since 3×44428233 (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

4442823 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4442843) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1011 + ... + 3147.

It is an arithmetic number, because the mean of its divisors is an integer number (256560).

Almost surely, 24442823 is an apocalyptic number.

4442823 is a deficient number, since it is larger than the sum of its proper divisors (3767097).

4442823 is a wasteful number, since it uses less digits than its factorization.

4442823 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2164 (or 2158 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 4442823 is about 2107.8005123825. The cubic root of 4442823 is about 164.3941417274.

The spelling of 4442823 in words is "four million, four hundred forty-two thousand, eight hundred twenty-three".

Divisors: 1 3 7 9 11 21 27 33 63 77 99 189 231 297 693 2079 2137 6411 14959 19233 23507 44877 57699 70521 134631 164549 211563 403893 493647 634689 1480941 4442823