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446045980 = 225314715307
BaseRepresentation
bin11010100101100…
…001111100011100
31011002022111001111
4122211201330130
51403141432410
6112132151404
714024220412
oct3245417434
91132274044
10446045980
11209865a46
12105468564
1371544043
144334d2b2
152925bb8a
hex1a961f1c

446045980 has 48 divisors (see below), whose sum is σ = 987549696. Its totient is φ = 168978240.

The previous prime is 446045947. The next prime is 446046023. The reversal of 446045980 is 89540644.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21487 + ... + 36793.

It is an arithmetic number, because the mean of its divisors is an integer number (20573952).

Almost surely, 2446045980 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 446045980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493774848).

446045980 is an abundant number, since it is smaller than the sum of its proper divisors (541503716).

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

446045980 is a wasteful number, since it uses less digits than its factorization.

446045980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15394 (or 15392 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The square root of 446045980 is about 21119.8006619381. The cubic root of 446045980 is about 764.0583798120.

The spelling of 446045980 in words is "four hundred forty-six million, forty-five thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 31 47 62 94 124 155 188 235 310 470 620 940 1457 2914 5828 7285 14570 15307 29140 30614 61228 76535 153070 306140 474517 719429 949034 1438858 1898068 2372585 2877716 3597145 4745170 7194290 9490340 14388580 22302299 44604598 89209196 111511495 223022990 446045980