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442900 = 225243103
BaseRepresentation
bin1101100001000010100
3211111112201
41230020110
5103133100
613254244
73523153
oct1541024
9744481
10442900
11282837
12194384
13126793
14b759a
158b36a
hex6c214

442900 has 36 divisors (see below), whose sum is σ = 992992. Its totient is φ = 171360.

The previous prime is 442879. The next prime is 442903. The reversal of 442900 is 9244.

442900 = T69 + T70 + ... + T143.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442903) 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, 4249 + ... + 4351.

2442900 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 442900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496496).

442900 is an abundant number, since it is smaller than the sum of its proper divisors (550092).

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

442900 is a wasteful number, since it uses less digits than its factorization.

442900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 442900 is about 665.5073252790. The cubic root of 442900 is about 76.2257828675.

The spelling of 442900 in words is "four hundred forty-two thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 103 172 206 215 412 430 515 860 1030 1075 2060 2150 2575 4300 4429 5150 8858 10300 17716 22145 44290 88580 110725 221450 442900