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442960 = 24572113
BaseRepresentation
bin1101100001001010000
3211111121221
41230021100
5103133320
613254424
73523300
oct1541120
9744557
10442960
11282891
12194414
1312680b
14b7600
158b3aa
hex6c250

442960 has 60 divisors (see below), whose sum is σ = 1208628. Its totient is φ = 150528.

The previous prime is 442919. The next prime is 442961. The reversal of 442960 is 69244.

It can be written as a sum of positive squares in 2 ways, for example, as 63504 + 379456 = 252^2 + 616^2 .

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3864 + ... + 3976.

2442960 is an apocalyptic number.

442960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604314).

442960 is an abundant number, since it is smaller than the sum of its proper divisors (765668).

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

442960 is a wasteful number, since it uses less digits than its factorization.

442960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 442960 is about 665.5524021443. The cubic root of 442960 is about 76.2292248337.

It can be divided in two parts, 4429 and 60, that added together give a square (4489 = 672).

The spelling of 442960 in words is "four hundred forty-two thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 113 140 196 226 245 280 392 452 490 560 565 784 791 904 980 1130 1582 1808 1960 2260 3164 3920 3955 4520 5537 6328 7910 9040 11074 12656 15820 22148 27685 31640 44296 55370 63280 88592 110740 221480 442960