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445146 = 23132439
BaseRepresentation
bin1101100101011011010
3211121121220
41230223122
5103221041
613312510
73532542
oct1545332
9747556
10445146
11284499
12195736
13127800
14b8322
158bd66
hex6cada

445146 has 24 divisors (see below), whose sum is σ = 966240. Its totient is φ = 136656.

The previous prime is 445141. The next prime is 445157. The reversal of 445146 is 641544.

It is a super-2 number, since 2×4451462 = 396309922632, which contains 22 as substring.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (445141) 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 11 ways as a sum of consecutive naturals, for example, 795 + ... + 1233.

It is an arithmetic number, because the mean of its divisors is an integer number (40260).

2445146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483120).

445146 is an abundant number, since it is smaller than the sum of its proper divisors (521094).

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

445146 is a wasteful number, since it uses less digits than its factorization.

445146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 457 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 445146 is about 667.1926258585. The cubic root of 445146 is about 76.3544157595.

It can be divided in two parts, 4 and 45146, that added together give a triangular number (45150 = T300).

The spelling of 445146 in words is "four hundred forty-five thousand, one hundred forty-six".

Divisors: 1 2 3 6 13 26 39 78 169 338 439 507 878 1014 1317 2634 5707 11414 17121 34242 74191 148382 222573 445146