Search a number
-
+
445640560 = 24511095023
BaseRepresentation
bin11010100011111…
…110111101110000
31011001112212220221
4122203332331300
51403040444220
6112115342424
714020611421
oct3243767560
91131485827
10445640560
11209609392
121052b1a14
1371431651
1443285648
15291cb9aa
hex1a8fef70

445640560 has 40 divisors (see below), whose sum is σ = 1037255040. Its totient is φ = 178060032.

The previous prime is 445640557. The next prime is 445640581. The reversal of 445640560 is 65046544.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×4456405602 = 397191017434227200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

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, 86209 + ... + 91231.

It is an arithmetic number, because the mean of its divisors is an integer number (25931376).

Almost surely, 2445640560 is an apocalyptic number.

445640560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

445640560 is an abundant number, since it is smaller than the sum of its proper divisors (591614480).

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

445640560 is a wasteful number, since it uses less digits than its factorization.

445640560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6145 (or 6139 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

The square root of 445640560 is about 21110.2003780163. The cubic root of 445640560 is about 763.8268203913.

The spelling of 445640560 in words is "four hundred forty-five million, six hundred forty thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1109 2218 4436 5023 5545 8872 10046 11090 17744 20092 22180 25115 40184 44360 50230 80368 88720 100460 200920 401840 5570507 11141014 22282028 27852535 44564056 55705070 89128112 111410140 222820280 445640560