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442980 = 2232523107
BaseRepresentation
bin1101100001001100100
3211111122200
41230021210
5103133410
613254500
73523326
oct1541144
9744580
10442980
112828aa
12194430
13126825
14b7616
158b3c0
hex6c264

442980 has 72 divisors (see below), whose sum is σ = 1415232. Its totient is φ = 111936.

The previous prime is 442979. The next prime is 442987. The reversal of 442980 is 89244.

It is not an unprimeable number, because it can be changed into a prime (442987) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4087 + ... + 4193.

It is an arithmetic number, because the mean of its divisors is an integer number (19656).

2442980 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 442980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707616).

442980 is an abundant number, since it is smaller than the sum of its proper divisors (972252).

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

442980 is a wasteful number, since it uses less digits than its factorization.

442980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 442980 is about 665.5674270876. The cubic root of 442980 is about 76.2303720867.

The spelling of 442980 in words is "four hundred forty-two thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 107 115 138 180 207 214 230 276 321 345 414 428 460 535 642 690 828 963 1035 1070 1284 1380 1605 1926 2070 2140 2461 3210 3852 4140 4815 4922 6420 7383 9630 9844 12305 14766 19260 22149 24610 29532 36915 44298 49220 73830 88596 110745 147660 221490 442980