Search a number
-
+
440054656 = 2717202231
BaseRepresentation
bin11010001110101…
…011001110000000
31010200001002111121
4122032223032000
51400123222111
6111355522024
713622255116
oct3216531600
91120032447
10440054656
11206443638
12103459314
1370226c92
144262dab6
1528976871
hex1a3ab380

440054656 has 32 divisors (see below), whose sum is σ = 928244880. Its totient is φ = 207083520.

The previous prime is 440054633. The next prime is 440054669. The reversal of 440054656 is 656450044.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (34).

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 3 ways as a sum of consecutive naturals, for example, 98940 + ... + 103291.

Almost surely, 2440054656 is an apocalyptic number.

It is an amenable number.

440054656 is an abundant number, since it is smaller than the sum of its proper divisors (488190224).

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

440054656 is a wasteful number, since it uses less digits than its factorization.

440054656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202262 (or 202250 counting only the distinct ones).

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

The square root of 440054656 is about 20977.4797342293. The cubic root of 440054656 is about 760.6219839044.

The spelling of 440054656 in words is "four hundred forty million, fifty-four thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 1088 2176 202231 404462 808924 1617848 3235696 3437927 6471392 6875854 12942784 13751708 25885568 27503416 55006832 110013664 220027328 440054656