Search a number
-
+
445040520 = 233513672713
BaseRepresentation
bin11010100001101…
…100011110001000
31011000102101211020
4122201230132020
51402412244040
6112054432440
714012532141
oct3241543610
91130371736
10445040520
11209239591
12105062720
13712814b2
144316aac8
152910dcd0
hex1a86c788

445040520 has 64 divisors (see below), whose sum is σ = 1336590720. Its totient is φ = 118546944.

The previous prime is 445040513. The next prime is 445040539. The reversal of 445040520 is 25040544.

It is a super-2 number, since 2×4450405202 = 396122128883740800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162684 + ... + 165396.

It is an arithmetic number, because the mean of its divisors is an integer number (20884230).

Almost surely, 2445040520 is an apocalyptic number.

445040520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

445040520 is an abundant number, since it is smaller than the sum of its proper divisors (891550200).

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

445040520 is a wasteful number, since it uses less digits than its factorization.

445040520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4094 (or 4090 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 445040520 is about 21095.9835039753. The cubic root of 445040520 is about 763.4838440500.

Adding to 445040520 its sum of digits (24), we get a palindrome (445040544).

The spelling of 445040520 in words is "four hundred forty-five million, forty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1367 2713 2734 4101 5426 5468 6835 8139 8202 10852 10936 13565 13670 16278 16404 20505 21704 27130 27340 32556 32808 40695 41010 54260 54680 65112 81390 82020 108520 162780 164040 325560 3708671 7417342 11126013 14834684 18543355 22252026 29669368 37086710 44504052 55630065 74173420 89008104 111260130 148346840 222520260 445040520