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444620 = 225114347
BaseRepresentation
bin1101100100011001100
3211120220102
41230203030
5103211440
613310232
73531161
oct1544314
9746812
10444620
11284060
12195378
131274b7
14b8068
158bb15
hex6c8cc

444620 has 48 divisors (see below), whose sum is σ = 1064448. Its totient is φ = 154560.

The previous prime is 444607. The next prime is 444623. The reversal of 444620 is 26444.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 444592 and 444601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444623) by changing a digit.

444620 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9437 + ... + 9483.

It is an arithmetic number, because the mean of its divisors is an integer number (22176).

2444620 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 444620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532224).

444620 is an abundant number, since it is smaller than the sum of its proper divisors (619828).

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

444620 is a wasteful number, since it uses less digits than its factorization.

444620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 444620 is about 666.7983203338. The cubic root of 444620 is about 76.3243295614.

It can be divided in two parts, 44 and 4620, that added together give a palindrome (4664).

The spelling of 444620 in words is "four hundred forty-four thousand, six hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 43 44 47 55 86 94 110 172 188 215 220 235 430 470 473 517 860 940 946 1034 1892 2021 2068 2365 2585 4042 4730 5170 8084 9460 10105 10340 20210 22231 40420 44462 88924 111155 222310 444620