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442192 = 2429953
BaseRepresentation
bin1101011111101010000
3211110120111
41223331100
5103122232
613251104
73521122
oct1537520
9743514
10442192
11282253
12193a94
1312636a
14b7212
158b047
hex6bf50

442192 has 20 divisors (see below), whose sum is σ = 887220. Its totient is φ = 213248.

The previous prime is 442181. The next prime is 442193. The reversal of 442192 is 291244.

It can be written as a sum of positive squares in 2 ways, for example, as 207936 + 234256 = 456^2 + 484^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13 + ... + 940.

It is an arithmetic number, because the mean of its divisors is an integer number (44361).

2442192 is an apocalyptic number.

It is an amenable number.

442192 is an abundant number, since it is smaller than the sum of its proper divisors (445028).

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

442192 is a wasteful number, since it uses less digits than its factorization.

442192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 984 counting only the distinct ones).

The product of its digits is 576, while the sum is 22.

The square root of 442192 is about 664.9751875070. The cubic root of 442192 is about 76.1851441705.

The spelling of 442192 in words is "four hundred forty-two thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 29 58 116 232 464 953 1906 3812 7624 15248 27637 55274 110548 221096 442192