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444920 = 23572227
BaseRepresentation
bin1101100100111111000
3211121022112
41230213320
5103214140
613311452
73532100
oct1544770
9747275
10444920
11284303
12195588
13127688
14b8200
158bc65
hex6c9f8

444920 has 48 divisors (see below), whose sum is σ = 1169640. Its totient is φ = 151872.

The previous prime is 444901. The next prime is 444929. The reversal of 444920 is 29444.

It is a happy number.

It is a nialpdrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 444920.

It is not an unprimeable number, because it can be changed into a prime (444929) by changing a digit.

444920 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 1847 + ... + 2073.

2444920 is an apocalyptic number.

444920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584820).

444920 is an abundant number, since it is smaller than the sum of its proper divisors (724720).

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

444920 is a wasteful number, since it uses less digits than its factorization.

444920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 444920 is about 667.0232379760. The cubic root of 444920 is about 76.3414918955.

The spelling of 444920 in words is "four hundred forty-four thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 227 245 280 392 454 490 908 980 1135 1589 1816 1960 2270 3178 4540 6356 7945 9080 11123 12712 15890 22246 31780 44492 55615 63560 88984 111230 222460 444920