Search a number
-
+
194544864 = 25323731811
BaseRepresentation
bin10111001100010…
…00010011100000
3111120001220101100
423212020103200
5344300413424
631145434400
74551414123
oct1346102340
9446056340
10194544864
119a8a7488
125519ba00
13313c7307
141bba23ba
151212cdc9
hexb9884e0

194544864 has 72 divisors (see below), whose sum is σ = 555026472. Its totient is φ = 64638720.

The previous prime is 194544851. The next prime is 194544881. The reversal of 194544864 is 468445491.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×1945448643 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 106519 + ... + 108329.

It is an arithmetic number, because the mean of its divisors is an integer number (7708701).

Almost surely, 2194544864 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 194544864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277513236).

194544864 is an abundant number, since it is smaller than the sum of its proper divisors (360481608).

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

194544864 is a wasteful number, since it uses less digits than its factorization.

194544864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2200 (or 2189 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 194544864 is about 13947.9340405667. The cubic root of 194544864 is about 579.4374887129.

The spelling of 194544864 in words is "one hundred ninety-four million, five hundred forty-four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 373 746 1119 1492 1811 2238 2984 3357 3622 4476 5433 5968 6714 7244 8952 10866 11936 13428 14488 16299 17904 21732 26856 28976 32598 35808 43464 53712 57952 65196 86928 107424 130392 173856 260784 521568 675503 1351006 2026509 2702012 4053018 5404024 6079527 8106036 10808048 12159054 16212072 21616096 24318108 32424144 48636216 64848288 97272432 194544864