Search a number
-
+
445244040 = 2336515269
BaseRepresentation
bin11010100010011…
…110001010001000
31011000210202000000
4122202132022020
51402440302130
6112103043000
714014340403
oct3242361210
91130722000
10445244040
1120936848a
12105140460
1371323017
14431c0d3a
152914e260
hex1a89e288

445244040 has 112 divisors (see below), whose sum is σ = 1502109900. Its totient is φ = 118723968.

The previous prime is 445244039. The next prime is 445244071. The reversal of 445244040 is 40442544.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 441252036 + 3992004 = 21006^2 + 1998^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 445243995 and 445244013.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 21526 + ... + 36794.

Almost surely, 2445244040 is an apocalyptic number.

445244040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445244040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751054950).

445244040 is an abundant number, since it is smaller than the sum of its proper divisors (1056865860).

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

445244040 is a wasteful number, since it uses less digits than its factorization.

445244040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15298 (or 15279 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 27.

The square root of 445244040 is about 21100.8066196532. The cubic root of 445244040 is about 763.6002083995.

Adding to 445244040 its reverse (40442544), we get a palindrome (485686584).

The spelling of 445244040 in words is "four hundred forty-five million, two hundred forty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 360 405 486 540 648 729 810 972 1080 1215 1458 1620 1944 2430 2916 3240 3645 4860 5832 7290 9720 14580 15269 29160 30538 45807 61076 76345 91614 122152 137421 152690 183228 229035 274842 305380 366456 412263 458070 549684 610760 687105 824526 916140 1099368 1236789 1374210 1649052 1832280 2061315 2473578 2748420 3298104 3710367 4122630 4947156 5496840 6183945 7420734 8245260 9894312 11131101 12367890 14841468 16490520 18551835 22262202 24735780 29682936 37103670 44524404 49471560 55655505 74207340 89048808 111311010 148414680 222622020 445244040