Search a number
-
+
445320936 = 23331925711
BaseRepresentation
bin11010100010110…
…000111011101000
31011000221122111000
4122202300323220
51403000232221
6112104435000
714015110524
oct3242607350
91130848430
10445320936
11209410235
12105178a60
137134c018
1443200d84
1529166e26
hex1a8b0ee8

445320936 has 96 divisors (see below), whose sum is σ = 1305763200. Its totient is φ = 140603040.

The previous prime is 445320913. The next prime is 445320947. The reversal of 445320936 is 639023544.

445320936 is a `hidden beast` number, since 445 + 3 + 209 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 445320936.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75121 + ... + 80831.

It is an arithmetic number, because the mean of its divisors is an integer number (13601700).

Almost surely, 2445320936 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 445320936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652881600).

445320936 is an abundant number, since it is smaller than the sum of its proper divisors (860442264).

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

445320936 is a wasteful number, since it uses less digits than its factorization.

445320936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5764 (or 5735 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 445320936 is about 21102.6286514263. The cubic root of 445320936 is about 763.6441651337.

The spelling of 445320936 in words is "four hundred forty-five million, three hundred twenty thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 361 456 513 684 722 1026 1083 1368 1444 2052 2166 2888 3249 4104 4332 5711 6498 8664 9747 11422 12996 17133 19494 22844 25992 34266 38988 45688 51399 68532 77976 102798 108509 137064 154197 205596 217018 308394 325527 411192 434036 616788 651054 868072 976581 1233576 1302108 1953162 2061671 2604216 2929743 3906324 4123342 5859486 6185013 7812648 8246684 11718972 12370026 16493368 18555039 23437944 24740052 37110078 49480104 55665117 74220156 111330234 148440312 222660468 445320936