Search a number
-
+
445384688 = 24731373467
BaseRepresentation
bin11010100011000…
…000011111110000
31011001001212221012
4122203000133300
51403004302223
6112110050052
714015464430
oct3243003760
91131055835
10445384688
11209454121
121051a9928
1371372048
144321a2c0
152917ac78
hex1a8c07f0

445384688 has 80 divisors (see below), whose sum is σ = 1045837824. Its totient is φ = 179677440.

The previous prime is 445384661. The next prime is 445384739. The reversal of 445384688 is 886483544.

It is a happy number.

It is a congruent number.

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, 126731 + ... + 130197.

Almost surely, 2445384688 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 445384688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522918912).

445384688 is an abundant number, since it is smaller than the sum of its proper divisors (600453136).

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

445384688 is a wasteful number, since it uses less digits than its factorization.

445384688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3550 (or 3544 counting only the distinct ones).

The product of its digits is 2949120, while the sum is 50.

The square root of 445384688 is about 21104.1391200873. The cubic root of 445384688 is about 763.6806044114.

The spelling of 445384688 in words is "four hundred forty-five million, three hundred eighty-four thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 37 56 62 74 112 124 148 217 248 259 296 434 496 518 592 868 1036 1147 1736 2072 2294 3467 3472 4144 4588 6934 8029 9176 13868 16058 18352 24269 27736 32116 48538 55472 64232 97076 107477 128279 128464 194152 214954 256558 388304 429908 513116 752339 859816 897953 1026232 1504678 1719632 1795906 2052464 3009356 3591812 3976649 6018712 7183624 7953298 12037424 14367248 15906596 27836543 31813192 55673086 63626384 111346172 222692344 445384688