Search a number
-
+
441056064 = 26314831549
BaseRepresentation
bin11010010010011…
…111101101000000
31010201220222011210
4122102133231000
51400402243224
6111433210120
713633625511
oct3222375500
91121828153
10441056064
11206a67a49
12103860940
13704b7a27
1442810a08
1528ac3429
hex1a49fb40

441056064 has 56 divisors (see below), whose sum is σ = 1168501600. Its totient is φ = 146824704.

The previous prime is 441056059. The next prime is 441056081. The reversal of 441056064 is 460650144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 283962 + ... + 285510.

It is an arithmetic number, because the mean of its divisors is an integer number (20866100).

Almost surely, 2441056064 is an apocalyptic number.

It is an amenable number.

441056064 is an abundant number, since it is smaller than the sum of its proper divisors (727445536).

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

441056064 is a wasteful number, since it uses less digits than its factorization.

441056064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3047 (or 3037 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 441056064 is about 21001.3348147207. The cubic root of 441056064 is about 761.1985152343.

The spelling of 441056064 in words is "four hundred forty-one million, fifty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 1483 1549 2966 3098 4449 4647 5932 6196 8898 9294 11864 12392 17796 18588 23728 24784 35592 37176 47456 49568 71184 74352 94912 99136 142368 148704 284736 297408 2297167 4594334 6891501 9188668 13783002 18377336 27566004 36754672 55132008 73509344 110264016 147018688 220528032 441056064