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445317072 = 2434125519
BaseRepresentation
bin11010100010101…
…111111111010000
31011000221110011220
4122202233333100
51403000121242
6112104405040
714015063334
oct3242577720
91130843156
10445317072
11209408342
12105176780
137134a335
14431dd7c4
1529165bec
hex1a8affd0

445317072 has 60 divisors (see below), whose sum is σ = 1179359040. Its totient is φ = 144792320.

The previous prime is 445317071. The next prime is 445317083. The reversal of 445317072 is 270713544.

It is a super-2 number, since 2×4453170722 = 396614589229306368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445317071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77929 + ... + 83447.

It is an arithmetic number, because the mean of its divisors is an integer number (19655984).

Almost surely, 2445317072 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 445317072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589679520).

445317072 is an abundant number, since it is smaller than the sum of its proper divisors (734041968).

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

445317072 is a wasteful number, since it uses less digits than its factorization.

445317072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5612 (or 5565 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The square root of 445317072 is about 21102.5370986524. The cubic root of 445317072 is about 763.6419564422.

The spelling of 445317072 in words is "four hundred forty-five million, three hundred seventeen thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 246 328 492 656 984 1681 1968 3362 5043 5519 6724 10086 11038 13448 16557 20172 22076 26896 33114 40344 44152 66228 80688 88304 132456 226279 264912 452558 678837 905116 1357674 1810232 2715348 3620464 5430696 9277439 10861392 18554878 27832317 37109756 55664634 74219512 111329268 148439024 222658536 445317072