Search a number
-
+
442780 = 225132131
BaseRepresentation
bin1101100000110011100
3211111101021
41230012130
5103132110
613253524
73522622
oct1540634
9744337
10442780
11282738
121942a4
13126700
14b7512
158b2da
hex6c19c

442780 has 36 divisors (see below), whose sum is σ = 1014552. Its totient is φ = 162240.

The previous prime is 442777. The next prime is 442781. The reversal of 442780 is 87244.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442781) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3315 + ... + 3445.

It is an arithmetic number, because the mean of its divisors is an integer number (28182).

2442780 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 442780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507276).

442780 is an abundant number, since it is smaller than the sum of its proper divisors (571772).

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

442780 is a wasteful number, since it uses less digits than its factorization.

442780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 442780 is about 665.4171623876. The cubic root of 442780 is about 76.2188980025.

The spelling of 442780 in words is "four hundred forty-two thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 131 169 260 262 338 524 655 676 845 1310 1690 1703 2620 3380 3406 6812 8515 17030 22139 34060 44278 88556 110695 221390 442780