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444416820 = 22357406947
BaseRepresentation
bin11010011111010…
…100001100110100
31010222020201021020
4122133110030310
51402232314240
6112033221140
714004323601
oct3237241464
91128221236
10444416820
11208952a31
12104a017b0
13710c3643
14430476a8
15290390d0
hex1a7d4334

444416820 has 24 divisors (see below), whose sum is σ = 1244367264. Its totient is φ = 118511136.

The previous prime is 444416813. The next prime is 444416887. The reversal of 444416820 is 28614444.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3703414 + ... + 3703533.

It is an arithmetic number, because the mean of its divisors is an integer number (51848636).

Almost surely, 2444416820 is an apocalyptic number.

It is an amenable number.

444416820 is an abundant number, since it is smaller than the sum of its proper divisors (799950444).

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

444416820 is a wasteful number, since it uses less digits than its factorization.

444416820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7406959 (or 7406957 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The square root of 444416820 is about 21081.1958863818. The cubic root of 444416820 is about 763.1270169938.

The spelling of 444416820 in words is "four hundred forty-four million, four hundred sixteen thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 7406947 14813894 22220841 29627788 37034735 44441682 74069470 88883364 111104205 148138940 222208410 444416820