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444021920 = 2552775137
BaseRepresentation
bin11010011101110…
…011110010100000
31010221111122120022
4122131303302200
51402132200140
6112020533012
714001060356
oct3235636240
91127448508
10444021920
11208703271
12104851168
1370cb5984
1442d837d6
1528eac0b5
hex1a773ca0

444021920 has 24 divisors (see below), whose sum is σ = 1049002164. Its totient is φ = 177608704.

The previous prime is 444021917. The next prime is 444021947. The reversal of 444021920 is 29120444.

It can be written as a sum of positive squares in 2 ways, for example, as 411440656 + 32581264 = 20284^2 + 5708^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 444021920.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1387409 + ... + 1387728.

Almost surely, 2444021920 is an apocalyptic number.

444021920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444021920 is an abundant number, since it is smaller than the sum of its proper divisors (604980244).

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

444021920 is a wasteful number, since it uses less digits than its factorization.

444021920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2775152 (or 2775144 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 444021920 is about 21071.8276378676. The cubic root of 444021920 is about 762.9009168178.

The spelling of 444021920 in words is "four hundred forty-four million, twenty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 2775137 5550274 11100548 13875685 22201096 27751370 44402192 55502740 88804384 111005480 222010960 444021920