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442860 = 223511261
BaseRepresentation
bin1101100000111101100
3211111111020
41230013230
5103132420
613254140
73523065
oct1540754
9744436
10442860
11282800
12194350
13126762
14b756c
158b340
hex6c1ec

442860 has 72 divisors (see below), whose sum is σ = 1385328. Its totient is φ = 105600.

The previous prime is 442843. The next prime is 442861. The reversal of 442860 is 68244.

It is a super-2 number, since 2×4428602 = 392249959200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 442860.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442861) 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, 7230 + ... + 7290.

2442860 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 442860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692664).

442860 is an abundant number, since it is smaller than the sum of its proper divisors (942468).

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

442860 is a wasteful number, since it uses less digits than its factorization.

442860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 442860 is about 665.4772723392. The cubic root of 442860 is about 76.2234880507.

The spelling of 442860 in words is "four hundred forty-two thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 61 66 110 121 122 132 165 183 220 242 244 305 330 363 366 484 605 610 660 671 726 732 915 1210 1220 1342 1452 1815 1830 2013 2420 2684 3355 3630 3660 4026 6710 7260 7381 8052 10065 13420 14762 20130 22143 29524 36905 40260 44286 73810 88572 110715 147620 221430 442860