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442854 = 23359139
BaseRepresentation
bin1101100000111100110
3211111111000
41230013212
5103132404
613254130
73523056
oct1540746
9744430
10442854
112827a5
12194346
13126759
14b7566
158b339
hex6c1e6

442854 has 32 divisors (see below), whose sum is σ = 1008000. Its totient is φ = 144072.

The previous prime is 442843. The next prime is 442861. The reversal of 442854 is 458244.

It is a super-2 number, since 2×4428542 = 392239330632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 3 and base 9.

It is a congruent number.

It is an unprimeable number.

442854 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3117 + ... + 3255.

It is an arithmetic number, because the mean of its divisors is an integer number (31500).

2442854 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442854, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504000).

442854 is an abundant number, since it is smaller than the sum of its proper divisors (565146).

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

442854 is a wasteful number, since it uses less digits than its factorization.

442854 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 203 counting only the distinct ones).

The product of its digits is 5120, while the sum is 27.

The square root of 442854 is about 665.4727642812. The cubic root of 442854 is about 76.2231438162.

Subtracting from 442854 its product of digits (5120), we obtain a palindrome (437734).

It can be divided in two parts, 442 and 854, that added together give a 4-th power (1296 = 64).

The spelling of 442854 in words is "four hundred forty-two thousand, eight hundred fifty-four".

Divisors: 1 2 3 6 9 18 27 54 59 118 139 177 278 354 417 531 834 1062 1251 1593 2502 3186 3753 7506 8201 16402 24603 49206 73809 147618 221427 442854