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442992 = 24311839
BaseRepresentation
bin1101100001001110000
3211111200010
41230021300
5103133432
613254520
73523344
oct1541160
9744603
10442992
11282910
12194440
13126834
14b7624
158b3cc
hex6c270

442992 has 40 divisors (see below), whose sum is σ = 1249920. Its totient is φ = 134080.

The previous prime is 442991. The next prime is 442997. The reversal of 442992 is 299244.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442991) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109 + ... + 947.

It is an arithmetic number, because the mean of its divisors is an integer number (31248).

2442992 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 442992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624960).

442992 is an abundant number, since it is smaller than the sum of its proper divisors (806928).

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

442992 is a wasteful number, since it uses less digits than its factorization.

442992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 855 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 442992 is about 665.5764418908. The cubic root of 442992 is about 76.2310604219.

The spelling of 442992 in words is "four hundred forty-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 839 1678 2517 3356 5034 6712 9229 10068 13424 18458 20136 27687 36916 40272 55374 73832 110748 147664 221496 442992