Search a number
-
+
445235024 = 24132578329
BaseRepresentation
bin11010100010011…
…011111101010000
31011000210021122002
4122202123331100
51402440010044
6112102533132
714014302203
oct3242337520
91130707562
10445235024
11209361733
121051371a8
137131bba0
14431bb93a
152914b74e
hex1a89bf50

445235024 has 40 divisors (see below), whose sum is σ = 932726760. Its totient is φ = 204668928.

The previous prime is 445235009. The next prime is 445235041. The reversal of 445235024 is 420532544.

It can be written as a sum of positive squares in 4 ways, for example, as 42510400 + 402724624 = 6520^2 + 20068^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49292 + ... + 57620.

It is an arithmetic number, because the mean of its divisors is an integer number (23318169).

Almost surely, 2445235024 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 445235024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466363380).

445235024 is an abundant number, since it is smaller than the sum of its proper divisors (487491736).

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

445235024 is a wasteful number, since it uses less digits than its factorization.

445235024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8607 (or 8601 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 29.

The square root of 445235024 is about 21100.5929774497. The cubic root of 445235024 is about 763.5950541730.

Adding to 445235024 its reverse (420532544), we get a palindrome (865767568).

The spelling of 445235024 in words is "four hundred forty-five million, two hundred thirty-five thousand, twenty-four".

Divisors: 1 2 4 8 13 16 26 52 104 208 257 514 1028 2056 3341 4112 6682 8329 13364 16658 26728 33316 53456 66632 108277 133264 216554 433108 866216 1732432 2140553 4281106 8562212 17124424 27827189 34248848 55654378 111308756 222617512 445235024